FACTORIZACION.

Máximo Factor Común

1. 4, 6, 10

R= 2

2. 4, 12, 20

R= 4

3. 12, 18, 14

R= 6

4. 16, 24, 40

R= 8

5. 15, 20, 25

R= 5

6. 14, 21, 28

R= 7

7. x3, x, x2

R= x

8. 2x2, 3x3, 4x

R= x

9. 6c2, 9x3, 12x

R= 3x

10. 3x3, 2x2, 5x4

R= x2

11. 15x3, 25x4, 30x2

R= 5x2

12. 12x2, 18x4, 30x

R= 6x

13. 4x2, 8x3y, 12xy2

R= 4x

14. 2xy2, 6x2y2, 8y2

R= 2y2

15. 12x2y, 18x2y2, 6x2

R= 6 x2

16. 36xy2, 48xy, 60xy3

R= 12xy

17. 54x2y2, 72x2y3z, 90x2y4z2

R= 9x2 y2

18. 28x3yz,42x2y2z2

R= 14x2 y2

19. 6(x+2), 9(x+2)

R= 3(x+2)

20. 3x(x-3), 6x2(x-3)

R= 3(x-3)

21. 9(x+1), 3(x+1)2

R= 3(x+1)

22. 4(x-1)2, 6(x-1)

R= 2(x-1)

23. x(x+2)2, x2(x+2)

R= x(x+2)

24. x2(x-2), 2x(x-2)2

R= x(x-2)

25. (x+3) 2, (x+3)(x+1)

R= (x+3)

26. (x+1) 2, (x+1)(x+2)

R= x+1

27. (x+4)(x-1), (x-2)(x+4)

R= x+4

28. (x-3)(x-2), (x-3)(x-1)

R= x-3

29. 4(x-3), 8(3-x)

R= 4(x-3)

30. x3(x-4), x2(4-x)

R=x2(x-4)

FACTORIZACION.

31. (x-2) 2 ,6(2-x)

R= x-2

32. (x-3) 2,(3-x)3

R= (x-3)2

factoricelos siguientes polinomios

33. 4x+4

R= 4(x+1)

34. 6x+12

R= 6(x+2)

35. 3x+9

R= 3(x+3)

36. 12x+6

R= 6(2x+1)

37. 3x-6

R= 3(x-2)

38. 4x-6

R= 2(2x-3)

39. 10x-5

R= 5(2x-1)

40. 18x-27

R= 3(6x-9)

41. 8-4x

R= 4(2-x)

42. 12-18x

R= 6(2-3x)

43. 5-15x

R= 5(1-3x)

44. 24-8x

R= 8(3-1x)

45. 4x2+4x

R= 4x(x+1)

46. 6x2 + 2x

R= 2x (3x+1)

47. 9x3 – 6x2

R= 3x2(3x-2)

48. 7x4 - 14 x3

R= 7x3(x-2)

49. 11x4 - 11x5x

R= 11x4(1-x)

50. 2xy-2x

R= 2x(y-1)

51. 3bx+3b

R= 3b(x+1)

52. 9ax+18a

R= 9a(x+2)

53. xy+x2y2

R= xy(1+xy)

54. 3ax+6ay

R= 3a(x+2y)

55. 4xy-8x²y

R= 4xy(1+2x)

56. 10ax²+15ax

R= 5ax(2x-3)

57. 18x²y-24xy²

R= 3xy(6x-8y)

58. x3-x2y

R= x2(x-y)

59. 4x2y2+12x2y

R= 4xy (xy+3x)

60. 16x3y2+24x4y

R= 4 x3 y(4y+8x)

61. 18x3y2-9x2y2

FACTORIZACION.

R= 9x2y2(2x-1)

62. 4x2y2-8xy3

R= 4xy2(x-2y)

63. 9x2y3+27x3y2

R= 9x^2y^2(y+3x)

64. 8x2y3-12x4y4

R= 4x^2 y^3(2y-3x^2y)

65. 8x2-4x+16

R= 4(2x^2-x+4)

66. 9x2+6x+3

R= 3(3^2+2x+1)

67. 6x2-6xy-6x

R= 6 (x^2-xy-x)

68. 6x3+9x2+15x

R= 3x (2^2+3x+5)

69. 4x4-8x3+12x2

R= 4x^2(x^2-2x+3)

70. x2y2-xy2+3y2

R= xy (xy-y+3y)

71. 2x3y+x2y-15xy

R= x(2x^2+x-15y)

72. 6x2y-4xy2+10xy

R= 2xy(3x-2y+5)

109. x2-16

R= (x-4) (x+4)

110. x2-36

R= (x-6) (x+6)

111. x2-49

R= (x-7) (x+7)

112. x2-64

R= (x-8) (x+8)

113. x2-100

R= (x-10) (x+10)

114. x2-144

R= (x-12) (x+12)

115. x2+25

R= sin solución.

116. x2+81

R= Sin solución.

117. 4-x2

R= (x-2) (x+2)

118. 25-x2

R= (x-5) (x+5)

119. 81-x2

R= (x-9) (x+9)

120. 121-x2

R= (x-11) (x+11)

121. 9x2-21

R= (3x-7) (3x+7)

122. 36x2-1

R= (6 x-1) (6 x+1)

123. 64x2-1

R= (8 x-1) (8 x+1)

124. 81x2-1

R= (9 x-1) (9 x+1)

125. 4x2-9

R= (2 x-3) (2 x+3)

126. 4x2-49

R= (2 x-7) (2 x+7)

127. 4x2-81

FACTORIZACION.

R= (2 x-9) (2 x+9)

128. 9x2-16

R= (3 x-4) (3 x+4)

129. 9x2-25

R= (3 x-5) (3 x+5)

130. 9x2-100

R= (3 x-10) (3 x+10)

131. 16x2-9

R= (4 x-3) (4 x+3)

132. 16x2-49

R= (4 x-7) (4 x+7)

133. 16x2-81

R= (4 x-9) (4 x+9)

134. 4-25x2

R= (5 x-2) (5 x+2)

135. 4-49x2

R= (7 x-2) (7 x+2)

136. 9-25x2

R= (5 x-3) (5 x+3)

137. 49-21x2

R= (3x-7) (3x+7)

138. x2-9y2

R= (x-3 y) (x+3 y)

139. 4x2-y2

R= (2 x-y) (2 x+y)

140. 9x2-16y2

R= (3 x-4 y) (3 x+4 y)

141. 9x2-25y2

R= (3 x-5 y) (3 x+5 y)

142. x2-81y2

R= (x-9 y) (x+9 y)

143. 9x2-4y4

R= (3 x-2 y2) (3 x+2 y2)

144. x4-64

R= (x2-8) (x^2+8)

145. 16x4-y2

R= (4x2+y) (4x2-y)

146. 4x4-9b2 c2

R= (2x2-3bc) (2x2-3bc)

147. a6-b4

R= (a3+b2) (a3-b2)

148. 2x2-18= 2(x2-9)

R= 2(x+3) (x-3)

149. 8x2-18 = 2(4x2-9)

R= 2(2x-3) (2x+3)

150. 3x2-12 = 3(x2-4)

R= 3(x-2) (x+2)

151. 4x2-16 = 4(x2-4)

R= 4(x-2) (x+2)

152. 9x2-81 = 9(x2-9)

R= 9(x-3) (x+3)

153. 6x2+24 = 6(x2+4)

R= 6(x-2) (x+2)

154. X3-x = x(x2-1)

R= x(x-1) (x+1)

155. x2y-4y = y(x2-4)

R= y(x-2) (x+2)

156. 3ax2-27a3 = 3a(x2-9a2)

R= 3a(x-3a) (x+3a)

157. 8x3+72xy2 = 8x(x2+9y2)

R= 8x(x+3y)(x-3y)

158. 28b2c3-63b4 c = 7b2c (4c2-9b2)

FACTORIZACION.

R= 7b2c (2c+3b) (2c-3b)

159. 9x2y2-y4 = y2 (9x2-y2)

R= y2 (3x-y) (3x+y)

160. 16x2-x4 = x2 (16-x2)

R= x2 (4+x) (4-x)

161. 6x3-24x = 6 (x2-4)

R= 6 (x+2) (x-2)

162. 20x2y-45y3 = 5y (4x2-9y2)

R= 5y (2x-3y) (2x+3y)

163. 12x2y2-75a2 = 3 (4x2 y2 -25a2)

R= 3 (2xy+5a) (2xy-5a)

164. 144x2y4-81a4 b2 = 9 (16x2 y4 -9a4 b2)

R= 9 (4xy2+a2b) (4xy2-a2b)

165. 36a8b12-9c10 = 9 (4a8 b12 – c10)

R= 9 (2a4 b6 – c5) (4a4 b6 + c5)

166. x4-1

R= (x2-1) (x2+1)

167. x4-16

R= (x2-4) (x2+4)

168. x4-61

R= x4-61

169. x4-y4

R= (x2-y2) (x2+y2)

170. 16x4-y4

R= (4x2-y2) (4x2+y2)

171. 81x4-y4

R= (9x2-y2) (9x2+y2)

172. 16x4-81y4

R= (4x2-9y2) (4x2+9y2)

173. 2x4-32y8 = 2 (x4-16y4)

R= 2 (x2+4y2) (x2-4y2)

174. 80x5-5x = 5x (16x4-1)

R= 5x (4x2+1) (4x2-1)

175. 3x4-48y4 = 3 (x4-16y4)

R= 3 (x2+4y2) (x2-4y2)

176. x7-x3 = x (x6-x2)

R= x (x3+x) (x3-x)

177. 4x6-64x2 = 4x2 (x4-16)

R= 4x2 (x2+4) (x2-4)

178. (X+1)2-y2 =

R= (x+1-y) (x+1+y)

179. (X+3)2-4y2

R= (x+3-4y) (x+3+4y)

180. (X-2)2-9y2

R= (x-2-3y) (x-2+3y)

181. (x-2)2-9y2

R= (4y-1+x) (-1-4y+x)

182. x2-(y+1)2

R= -y^2-2y-1+x^2

183. 4x2-(y+3)2

R= y^2-6y+4x^2-9

184. 9x2-(y+4)2

R=-y^2-8y+9x^2-16

185. 16x2-(y+5)2

R= -y^2-10y+16x^2-25

186. x2-(y-1)2

R= 2y-y^2-1+x^2

187. x2-(y-2)2

R= 4y-y^2-4+x^2

FACTORIZACION.

188. 4x2-(3y-1)2

R= 6y-9y^2+4x^2-1

189. 9x2-(2y-1)2

R= 4y-4y^2+9x^2-1

190. 4x2-9(y+4)2

R= (2x+3 (y+4))

191. x4-x2(y+1)2

R= x^2 (1+x+y) (-1+x-y)

192. 3x2-27(y-4)2

R= 3 (3y-4)+x) (-3 (y-4)+x)

193. 2x2-32(2y+1)2

R= 2 (4 (2y+1)+x)

194. 8x2-18(3y-2)2

R= 2 (2x+3 (3y-2)) (2x-3 (3y-2))

195. x2y2-y2(y-4)2

R= y^2 (8y-y^2-16+x^2)

196. (x-2)2-(y+1)2

R= x^2-4x+3-2y-y^2

197. (x+3)2-(2y+1)2

R= x^2+6x+8-4y^2-4y

198. (x-1)2-(y-3)2

R= x^2-2x+6y-8-y^2

199. (2x-1)2-(y-2)2

R= 4x^2-4x+4y-3-y^2

200. (x-3)3+y2(3-x)

R= (x-3)(-3+x+y)(-3+x-y)

201. (3x-1)3+y2(1-3x)

R= (3x-1)(3x-1+y)(3x-1-y)

202. x2-1/4

R= (x-1/2) (x+1/2)

203. x2-1/9

R= (x-1/3) (x+1/3)

204. x2-4/9

R= (x-2/3) (x+2/3)

205. x2-4/25

R= (x-2/5) (x+2/5)

206. x2-4/81

R= (x-2/9) (x+2/9)

207. x2-16/49

R= (x+4/7) (x+4/7)

208. 4x2-1/16

R= (2x-1/4) (2x+1/4)

209. 9x2-1/25

R= (3x+1/5) (3x-1/5)

210. 25x2-9/16

R= (5x+3/4) (5x-3/4)

211. x2-2xy+y2

R= (x-y)^2

212. m2+2mn+n2

R= (m+n)^2

213. x2-2x+1

R= (x-1)^2

214. y4+1+2y2

R= (y^2+1)^2

FACTORIZACION.

215. a2-10a +25

R= (a-5)^2

216. 9-6x+x2

R= (x-3)^2

217. 16+40x2+25x4

R= (5x^2+4)^2

218. 1+49a2-14a

R = 84a+1

219. 36+12m2+m4

R= (m^2+6)^2

220. 1-2b3+b6

R= (b-1)^2 (b^2+b+1)^2

221. x8+18x4+81

R= (x^4+9)^2

222. x6 –2x3y3+y6

R= x6 –2x3y3+y6

223. 4x2-12xy+9y2

R= (2x-3y)^2

224. 9b2-30a2b +25a4

R= (3b-5a 2)2

225. 1+14x2y+49x4y2

R= (1+7x2y)2

226. 1+a10-2a5

R= (a-1)^2 (a^4+a^3+a^2+a+1)^2

227. 49m6-70am3n2+25a2n4

R= (7-5m3n2)2

228. 100x10-60a4x5y6+9a8y12

R= (10x5 -3a 4y6)2

229. 121+198x6+81x12

R= (11+9x6)2

230. a2-24am2x2+144m4x4

R= (a-12m2x2)2

231. 16-104x2+169x4

R= (4-13x2)2

232. 400x10+40x5+1

R= (20x5+1)

233. a2/4 –ab+b2

R= a-ab+b^2

234. 1+ (2/3)b+ b2/9

R= (1+b/3)2

235. a4-a2b2+b4/4

R= (a2-b2/2)2

236. 1/25 + (25/36)x4 –x2/3

R= (1/5+x/3)2

237. 16x6-2x3y2+y4/16

R= (4x3-y2/4)2

238. n2/9+2mn+9m2

R= (n/3+3m)2

239. a2+2ª(a+b)+(a+b)2

R= (a+(a+b))2

240. 4 –4(1-a)+(1-a)2

R= (2-(1-a))2

241. x2+3x+2

FACTORIZACION.

R= (x+1) (x+2)

242. x2+4x+4

R= (x+2)2

243. x2+7x+12

R= (x+3) (x+4)

244. x2+9x+20

R= (x+4)(x+5)

245. x2+11x+30

R= (x+5) (x+6)

246. x2-2x+1

R= (x-1)(x-1)

247. x2-5x+6

R= (x-2)(x-3)

248. x2-8x+15

R= (x-3) (x-5)

249. x2-9x+20

R= ( x-4) (x-5)

250. x2-12x+35

R= (x-5) (x-7)

251. x2+2x-3

R= (x+3)(x-1)

252. x2+6x-16

R= (x+8)(x-2)

253. x2+4x-21

R= x2+4 x−2

254. x2+5x-36

R= (x+9)(x-4)

255. x2+2x-35

R= (x+7)(x-5)

256. x2-x-2

R= (x+1)(x-2)

257. x2-2x-8

R= (x+2)(x-4)

258. x2-3x-18

R= (x+3)(x-6)

259. x2-2x-24

R= (x+4)(x-6)

260. x2-3x-40

R= (x+5)(x-8)

261. x2-x-3

R= x2−x−3

262. x2+x+4

R= x2+ x+4

263. x2+6x+8

R= (x+4)(x+2)

264. x2+11x+24

R= (x+8)(x+3)

265. x2-8x+12

R= (x-2)(x-6)

266. x2-15x+36

R= (x-3)(x-12)

267. x2+4x-12

R= (x+6)(x-2)

268. x2+10x-39

R= (x+13)(x-3)

269. x2-8x-20

R= (x+2)(x-10)

270. x2-9x-36

R= (x+3)(x-12)

271. x2-3x+8

R= x2−3 x+8

272. x2+60+17x

FACTORIZACION.

R= (x-5)(x-12)

273. x2+30+13x

R= (x+10)(x+3)

274. x2+40-13x

R= (x-5)(x-8)

275. x2+32-18x

R= (x-2)(x-16)

276. x2-60+7x

R= (x+12)(x-5)

277. x2-18+7x

R= (x+9)(x-2)

278. x2-35-2

R= (x+5)(x-7)

279. x2-18-7x

R= (x+2)(x-9)

280. x2+13x+42

R= (x+7)(x+6)

281. x2-11x+30

R= (x-5)(x-6)

282. x2+6x-40

R= (x+10)(x-4)

283. x2-5x-24

R= (x+3)(x-8)

284. x2+12xy+27y2

R= (x+5 y)2

285. x2+14xy+48y2

R= (y+6x)(y+8x)

286. x2-9xy+14y2

R= (x-7x)(x-2x)

287. x2-11xy+28y2

R= (y-7x)(y-4x)

288. x2+9xy-36y2

R= (y-3x)(y+12x)

289. x2+xy-56y2

R= (x-7y)(x+8y)

290. x2-7xy-30y2

R= (x-10y)(x+3y)

291. x2-2xy-63y2

R= (x-9y)(x+7y)

292. 4x2+24x+36

R= (x+3)2

293. 2x2-18x+16

R= (x-8)(x-1)

294. 5x2+5x-10

R= (x-1)(x+2)

295. 9x2-36x-45

R= (x-5)(x+1)

296. ax2+5ax+6a

R= (x+2)(x+3)

297. x3-12x2+20x

R= (x-10)(x-2)

298. x4+2x3-8x2

R= (x-2)(x+4)

299. 3x3-3x2-18x

R= (x-3)(x+2)

300. x2y2+16xy+60

R= (yx+6)(yx+10)

301. x2y2-12xy+36

R= (yx-6)2

302. x2y2+3xy-54

R= (yx-6)(yx+9)

303. x2y2-11xy-42

FACTORIZACION.

R= (yx-14)(yx+3)

304. x4+5x2+6

R= (x2+2)(x2+3)

305. x4-3x2-10

R= (x2-5)(x2+2)

306. x4+3x2-4

R= (x-1)(x+1)(x2+4)

307. x4+x2-20

R= (x-2)(x+2)(x2+5)

308. x4-4x2+3

R= (x-1)(x+1)(x2-3)

309. x4-6x2+8

R= (x-2)(x+2)(x2-2)

310. x4-5x2+4

R= (x-2)(x+2)(x-1)(x+1)

311. x4-37x2+36

R= (x-6)(x+6)(x-1)(x+1)

312. x4-20x2+64

R= (x-4)(x+4)(x-2)(x+2)

313. x4-2x2+1

R= (x-1)2(x+1)2

314. x4-18x2+81

R= (x-3)2(x+3)2

315. (x+y)2+3(x+y)+2

R= (x+y+2)(x+y+1)

316. (x+3y)2-9(x+3y)+18

R= x2+6xy+9y2-9x-27+18

317. (x+y)2+(x+y)-2

R= x2+2xy+y2+x+y-2

318. (x+2y)2+(x+2y)-6

R= x2+2xy+y2+x+2y-6

319. (2x-y)2-(2x-y)-20

R= 4x2-4xy-y2-2x+y-20

320. (3x-y)2-4(3x-y)-32

R= 9x2-6xy+y2-12x+4y-32

321. 2x2+3x+1

R= (2x+1)(x+1)

322. 3x2+7x+2

R= (3x+1)(x+2)

323. 2x2+7x+6

R= (2x+3)(x+2)

324. 3x2+14x+18

R= No es factorizable

325. 4X2 + 4X + 1

R= (2x+1)²

326. 2x2 + 5x + 2

R= (2X + 1) (X + 2)

327. 3x2-4x+1

R= (3X - 1) (X - 1)

328. 2x2-9x+9

R= (2X - 3) (X - 3)

329. 3x2-11x+6

R= (3X - 2) (X - 3)

330. 4x2-8x+3

R= (2X - 3) (2X - 1)

331. 2x2+5x-3

R= (3X - 1) (X - 1)

332. 2x2+15x-8

R= (2X - 3) (X - 3)

333. 2x2+x-6

R= (3X - 1) (X - 1)

334. 3x2+7x-6

FACTORIZACION.

R= (2X - 3) (X - 3)

335. 4x2+9x-9

R= (3X - 1) (X - 1)

336. 2x2-3x-2

R= (2X - 3) (X - 3)

337. 2x2-13x-7

R= (3X - 1) (X - 1)

338. 3x2-17x-6

R= (2X - 3) (X - 3)

339. 2x2-9x-18

R= (3X - 1) (X - 1)

340. 3x2-13x-10

R= (2X - 3) (X - 3)

341. 2x2-3x+5

R= (3X - 1) (X - 1)

342. 3x2+7x-4

R= (2X - 3) (X - 3)

343. 2x2+11x+12

R= (3X - 1) (X - 1)

344. 2x2-13x+15

R= (2X - 3) (X - 3)

345. 2x2 + x - 3

R= (3X - 1) (X - 1)

346. 4x2 - 17x - 15

R= (2X - 3) (X - 3)

347. 3x2 + 12 + 20x

R= (3X - 1) (X - 1)

348. 4x2 + 6 - 11x

R= (2X - 3) (X - 3)

349. 6x2 – 3 + 7x

R= (3X - 1) (X - 1)

350. 6x2 – 4 - 5x

R= (2X - 3) (X - 3)

351. 4x2 + 27x + 18

R= (3X - 1) (X - 1)

352. 4x2 - 20x + 9

R= (2X - 3) (X - 3)

353. 6x2 + 23x - 18

R= (3X - 1) (X - 1)

354. 6x2 - 7x – 3

R= (2X - 3) (X - 3)

355. 4x2 + 8x + 5

R= (3X - 1) (X - 1)

356. 9x2 - 6x + 8

R= (2X - 3) (X - 3)

357. 6x2 + 17x + 12

R= (3X - 1) (X - 1)

358. 6x2 - 13x + 6

R= (2X - 3) (X - 3)

359. 6x2 + 19x - 36

R= (3X - 1) (X - 1)

360. 6x2 - 7x - 20

R= (2X - 3) (X - 3)

361. 6x2y2+23xy+20

R= (3xy+4)(2xy+5)

362. 12x2y2-11xy+2

R= (4xy-1)(3xy-2)

363. 12x2y2+xy+6

R= xy(12xy+1)+6

364. 12x2y2-7xy-12

R= (4xy+3)(3xy-4)

365. 4x2+8xy-3y2

FACTORIZACION.

R= 4(x+y) 2-7y2

366. 6x2+13xy+6y2

(9xy+6y2) + (6x2+4xy)

3y(3x+2y) + 2x(3x+2y)

R= (2x+3y) (3x+2y)

367. 6x2-11xy+3y2

(-9xy+3y2) + (6x2-2xy)

-3y(3x-y) + 2x(3x-y)

R= (3x-4y)(4x-3y)

368. 12x2-25xy+12y2

(-16xy+12y2) + (12x2-9xy)

-4y(4x-3y) +3x(4x-3y)

R= (3x-4y)(4x-3y)

369. 6x2+5xy-4y2

(8xy-4y2) + (6x^2 – 3xy)

4y(2x-y) +3x(2x-y)

R= (2x-y)(3x+4y)

370. 9x2+6xy-8y2

(12xy-8y2) + (9x2-6xy)

4y (3x-2y) + 3x (3x-2y)

R= (3x+4y)(3x-2y)

371. 3x2-7xy-6y2

(-9xy-6y2) + (3x2+2xy)

-3y(3x+2y)+x(3x+2y)

R= (x-3y)(3x+2y)

372. 4x2-8xy-5y2

(-10xy-5y2) + 2x(2x+y)

-5(2x+y)+2x(2x+y)

R= (2x+y)(2x-5y)

373. 9x2+39x+2

R= x(9x+39)+2

374. 10x2-45x+20

5 (2x2-9x+4)

R= 5 (x-4)(2x-1)

375. 6x2+27x-15

3 (2x2+9x-5)

R= 3 (x+5)(2x-1)

376. 2x3-5x2-3x

x (2x2-5x-3)

R= X (x-3) (2x+1)

377. 2x2y+5xy+3y

y (2x2+5x+3)

R= Y (x+1)(2x+3)

378. 2x4-7x^3+6x²

x2 (2x2-7x+6)

R= x2 (x-2)(2x-3)

379. 2x2y2+3xy2-9y2

y2 (2x2+3x-9)

R= Y2 (x+3) (2x-3)

380. 4x3-2x2-12x

2x (2x2-x-6)

R= 2x (x-2) (2x+3)

381. 4-4x-3x2

- (3x2+4-4)

R= -(x+2) (3x-2)

382. 3-2x-8x2

-(8x2+2x-3)

R= -(4x+3) (2x-1)

383. 15-7x-2x2

-(2x2+7x-15)

R= -(x+5) (2x-3)

FACTORIZACION.

384. 2+x-3x2

- (3x2+x+2)

R= -(x-1) (3x+2)

385. 4+11x-3x2

- (3x2-11x+4)

R= -(x-4) (3x+1)

386. 12+x+6x2

- (6x2-x-12)

R= - (2x-3) (3x+4)

387. 2x2+7x2+3

R= (x2+3) (2x2+1)

388. 6x4+23x2-4

(x2+4) (6x2-1)

(x2+4) (√6x+1) (√6x-1)

389. 4x4-11x2+6

(x2) (4x2-3)

R= (4x2-3) (x+√2) (x-√2)

390. 4x4+12x2-4

R= 4(x4+3x2-1)

391. 2x4-x2-1

(x2-1) (2x2+1)

R= (x+1) (x-1) (2x2+1)

392. 8x4-6x2-27

4x2-9)(2x2+3)

R= (2x+3) (2x-3) (2x2+3)

393. 18x4-29x2+3

(2x2-3)(9x2-1)

(9x2-1)(√2+√3)(√2x-√3)

R= (3x+1)(3x-1)(√2x+√3)(√2x-√3)

394. 36x413x2+1

(4x^2-1)(9x^2-1)

(2x+1)(2x-1)(9x^2-1)

R= (2x+1) (2x-1) (3x+1) (3x-1)

395. 4x4-45x2+81

(x29) (4x2-9)

(2x+3) (2x-3) (x2-9)

R= (x+3) (x-3) (2x+3) (2x-3)

396. 9x4-13x2+4

(x2-1) (9x2-4)

R= (x+1) (x-1) (3x+2) (3x-2)

397. 16x4-8x2+1

R= (2x + 1)2(2x - 1)2

398. 81x4-18x2+1

R= (3x + 1) 2(3x - 1)2

399. 3(x+y)2+10(x+y)+3

(x + y + 3) (3x + 3y + 1)

400. 6(2x-y)2-25(2x-y)+4

(-12x + 6y + 1) (-2x + y + 4)

401. 2(x+y)2-3(x+y)+1

(x + y - 1) (2x + 2y - 1)

402. 3(x-y)2+(x-y)-2

(-3x + 3y + 2) (-x + y - 1)

403. 36(x-y)2+5(x-y)-24

(-9x + 9y - 8) (-4x + 4y + 3)

404. 6(x-2y)2-11(x-2y)-2

(-6x + 12y - 1) (-x + 2y + 2)

405. 12(x-3y)2-5(x-3y)-3

R= (4x - 12y - 3)(3x - 9y + 1)

406. 12(3x+y)2-7(3x+y)-12

R= (12x + 4y + 3)(9x + 3y - 4)

407. x3+1

R= (x² - x + 1)(x + 1)

408. x3+8

R= (x² - 2x + 4) (x + 2)

409. x3+27

FACTORIZACION.

R= (x² - 3x + 9) (x + 3)

410. x3+64

R= (x² - 4x + 16) (x + 4)

411. x3+216

R= (x² - 6x + 36) (x + 6)

412. x3-1

R= (x²+ x + 1) (x - 1)

413. x3-8y3

R= (x²+ 2xy + 4y²) (x - 2y)

414. 27-x3

R= -(x² + 3x + 9)(x - 3)

415. x3-125

R= (x²+ 5x + 25)(x - 5)

416. 64x3-y3

R= (16x²+ 4xy + y²) (4x – y)

417. 8x3-27y3

R= (4x² + 6xy + 9y²) (2x - 3y)

418. x4+8x

R= (x²- 2x + 4) (x + 2)x

419. x3y+y4

R= (x²- xy + y²)(x + y)y

420. 4x3+32y3

R= 4(x²- 2xy + 4y²)(x + 2y)

421. 54x4+2xy3

R= 2(9x²- 3xy + y²)(3x + y)x

422. 16-2x3

R= -2(x² + 2x + 4)(x - 2)

423. x4y2-xy5

R= (x²+ xy + y²)*(x - y)xy²

424. 250x3-2

R= 2(25x² + 5*x + 1)(5x - 1)

425. 7x3-56y3

R= 7(x² + 2xy + 4y²)(x - 2y)

426. 4x3-32

R= 4(x² + 2x + 4)(x - 2)

427. x6+y3

R= (x4 - x²y + y²)(x² + y)

428. 16x3+54y3

R= 2(4x²- 6xy + 9y²)(2x + 3y)

429. 40x5+5x2

R= 5(4x²- 2*x + 1)(2x + 1)x²

430. 81x3+24y3

R= 3(9x² - 6xy + 4y²)(3x + 2y)

431. 2x6+16y3

R= 2(x4 - 2x2y + 4y²)(x²+ 2y)

432. 3x3y6+81

R= 3(x²y4 - 3xy² + 9)(xy² + 3)

433. 54x4-2x

R= 2x (27x3 – 1) (9x2 + 3x + 1)

434. 54x3-16

R= 2(3x-2)(9x2 + 6x + 4)

435. x6-x3

R= x3 (x - 1)(x2 + x + 1)

436. x6-8y6

R= (x2 - 2y2)(x4 + 2x2y2 + 4y4)

437. x6-27y6

R= (x2 - 3y2)(x4 + 3x2y2 + 9y4)

438. x6-1

R= (x2 - 1)(x4 + x2+ 1)

439. 64-x6

R= (4 - x2)(16 + 4x2+ x4)

440. x6+1

R= (x2 + 1)( (x4 - x2 + 1)

441. 64x6+1

R= (4x2 + 1)(16 x4 - 4x2 + 1)

442. x8+x2y6

FACTORIZACION.

R= x2(x6 + y6) = x2(x2 + y2) (x4 - x2 y2 + y4)

443. x3+(y+2)3

R= (x + y + 2) (x2 – xy – 2x + y2 + 4)

444. x3+(y-3)3

R= (x + y - 3) (x2 – xy – 3x + y2 + 9)

445. 8x3-(2y+1)3

R= (2x - 2y + 1) (4x2 + 4xy + 2x + 4y2 + 1)

446. x3-(y-2)3

R= (x - y - 2) (x2 + xy + 2x + y2 + 4

447. (x+2)3+y3

R= (x + 2 + y) (x2 + 4 – xy - 2y + y2)

448. (x-1)3+8y3

R= (x - 1 + 2y) (x2 + 1 – 2xy - 2y + 4y2)

449. (x+3)3-27y3

R= (x + 3 - 3y) (x2 + 9 + 3xy + 9y + 9y2)

450. (x-2)3-8y3

R= (x - 2 - 2y) (x2 + 4 + 2xy + 4y + 4y2)

451. (a+b)3+(c-d)3

R= (a + b + c - d) (a2 + b2 – ac – ad – bc – bd

+ c2 + d2)

452. (x+y)3-(a-b)3

R= (x + y - a - b) (x2 + y2 – ax – bx – ay – by +

a2 + b2)

453. a3+3a2+3ª+1

R= (a +1 )3

454. 27-27x+9x

2-x

3

R= (3 - x)3

455. m3+3m2n+3mn2+n3

R= (m + n)3

456. 1+3a2-3a-a3

R= (1 - a)3

457. 8+12a2+6a4+a6

R= (a2 + 2)3

458. 125x3+1+75x2+15x

R= (5x + 1)3

459. 8a3-36a2b+54ab2-27b3

R= (2a – 3b)3

460. 27m3+108m2n+144mn2+64n3

R= (3m + 4n)3

461. x3-3x2+3x-1

R= (x – 1)3

462. 1+12a2b2-6ab-8a3b3

R= (1 + 2ab)3

463. 125a3+150a2b+60ab2+8b3

R= = (5a + 2b)3

464. 8+36x+54x2+27x3

R= (2 + 3x)3

465. 8-12a2-6a4-a6

FACTORIZACION.

R= (2 – a2)3

466. a6+3a4b3+3a2b6+b9

R= (a2 – b3)3

467. x9-9x6y4+27x3y8-27y12

R= (x3 - 3y4)3

468. 64x3+240x2y+300xy2+125y3

R= (4x + 5y)3

469. 216-756a2+882a4-343a6

R= (6-7a2)3

470. 125x12+600x8y5+960x4y10+512y15

R= (5x4+8a5)3

471. 3a12+1+3a6+a18

R= (1+a6)3

472. m3-3am2n+3a2mn2-a3n3

R= (m-an)3

473. a2+ab+ax+bx

R= (a+b) (a+x)

474. am-bm+an-bn

R= (a-b) (m+n)

475. ax-2bx-2ay+4by

R= (a-2b) (x-y)

476. a2x2-3bx2+a2y2-3by2

R= (a2-3b) (x2+y2)

477. 3m-2n-2nx4+3mx4

R= (3m-2n) (1+x4)

478. x2-a2+x-a2x

R= (x-a2) (1+x)

479. 4a8-1-a2+4ª

R= (2x-a2) (1+x)

480. x+x2-xy2-y2

R= (1+x) (x-y2)

481. 3abx2-2y2-2x2+3aby2

R= (3ab-2) (x2+y2)

482. 3a-b2+2b2x-6ax

R= (1-2x) (3a-b2)

483. 4a3x-4a2b+3bm-3amx

R= (ax-b) (4a2-3m)

484. 6ax+3a+1+2x

R= (1+2x) (3a+1)

485. 3x3-9ax2-x+3ª

R= (x-3a) (3x-1)

486. 2a2x-5a2y+15by-6bx

R= (2x-5y) (a2-3b)

487. 2x2y+2xz2+y2z2+xy3

R= (xy+z2) (2x+y2)

488. 6m-9n+21nx-14mx

R= (2m-3n) (3-7x)

489. n2x-5a2y2-n2y2+5a2x

R= (x-y2) (n2+5a2)

490. 1+a+3ab+3b

R= (1+a) (1+2b)

491. 4am3-12amn-m2+3n

R= (m2-3n) (4am-1)

492. 20ax-5bx-2by+8ay

R= (4a-b) (5x+2y)

493. a4+a2+1

R= a2+1-a) (a2+1+a)

FACTORIZACION.

494. m4+m2n2+n4

R= (m2+n2-mn) (m2+n2+mn)

495. x8+3x4+4

R= (x4+2-x2) (x4+2+x2)

496. a4+2a2+9

R= (a2+3-2a) (a2+3+2a)

497. a4-3a2b2+b4

R= a2-b2-ab) (a2-b2+ab)

498. x4-6x2+1

R= (x2-1-2x) (x2-1+2x)

499. 4a4+3a2b2+9b4

R= (2a2+3b2-3ab) (2a2+3b2+3ab)

500. 4x4-29x2+25

R= (2x2-5-3x) (2x2-5+3x)

501. x8+4x4y4+16y8

R= (x4+4y4-2x2y2) (x4+4y4+2x2y2)

502. 16m4-25m2n2+9n4

R= (4m2-3n2-mn) (4m2-3n2-mn)

503. 25a4+54a2b2+49b4

R= (5a2+7b2-4ab) (5a2+7b2+4ab)

504. 36x4-109x2y2+49y4

R= (6x2-7y2-5xy) (6x2-7y2+5xy)

505. x4+64y4

R= (x2 + 8y2) (x2 - 8y2)

506. 4x8+y8

R= 4x8 + y8

507. a4+324b4

R= (a2+6ab+18b2) (a2-6ab+18b2)

508. 4m4+81n4

R= (2m+9n-3√2mn) (2m+9n-3√2mn)

509. 4+625x8

R= (2+10x2+25x4)(2-10x2+25x4)

510. 64+a12

R= (8+a6-4a) (8+a6+4a)

511. 1+4n4

R= (1+2n+2n2)(1-2n+2n2)

512. 64x8+y8

R= (8x4+y4-4x2y2) (8x4+y4+4x2y2)

513. 81a4+64b4

R= (9a2+12ab+8b2) (9a2-12ab+8b2)

514. a4+4b4

R= (a2+2b2-2ab) (a2+2b2+2ab)

515. a5+1 R= (a+1) (a4-a3+a2-a+1)516. a5-1R= (a-1) (a4+a3+a2+a+1)

517. 1-x5

R= (1-x) (1+x+x2+x3+x4)

518. a7+b7

R= (a+b) (a6-a5b+a4b2-a3b3+a2b4-ab5+b6)

519. m7-n7

R= (m-n)(m6+m5n+m4n2+m3n3+m2n4+mn5+n6)

520. a5+243

R= (a+3)( a4-3a3+9a2-27a+81)

521. 32-m5

FACTORIZACION.

R= (2-m) (16+8m+4m2+2m3+m4)

522. 1+243x5

R= (1+x) (1-3x+9x2-27x3+81x4)

523. x7+128R= (x+2) (x6-2x5+4x4-8x3+16x2-32x+64)

524. 243-32b5

R= (3-2b)( 81+162b+108b2+72b3+48b4)

525. x3-4x2+x+6R= (x+1)(x-2)(x-3)

526. 2x5-x2-18x+9

R= x2(x3-1)-9(2x+1)

527. a3+a2-13a-28

R= (a-4)(a2+5ª+7)

528. x3+2x2+x+2

R= (x+2)(x2+1)

529. n3-7n+6

R= (n-1)(n-2)(n+3)

530. 6x3+23x2+9x-18

R= (x+3)(2x+3)(3x-2)

531. x4-4x3-3x2+4x-4

R= (x-1)(x+1)(x-2)2

532. x4-2x3-13x2+14x+24

R= (x-2)(x+1)(x-4)(x+3)

533. a4-15a2-10a+24

R= (a-1)(a+2)(a+3)(a-4)

534. n4-27n2-14n+120

R= (x+4)(x-2)(x2-2x-15)

535. x2-y2+4x+4

R= (x+2+y)(x+2-y)

536. 9x2+y2-6xy-36

R= (3x-y-6)( 3x-y+6)

537. x3-16x+2x2y+xy2

R= x(x+y+4)(x+y-4)

538. x2-4y2-16y-16

R= -1(2y+4-x)( 2y+4+x)

539. 9-4x2-8xy-4y2

R= (3+2x+2y)(3-2x-2y)

540. 16-4x4-4y2-8x2y

R= -1(2x2+2y-16)( 2x2+2y+16)

541. 16x2-y4-16+8y2

R= (4x+y2-4)(4x-y2+4)

542. 1-16x2-16y2+32xyR= 1-(4x-4y)2

543. 4+64xy-16x2-64y2

R= 4(1+2x-4y)(1-2x+4y)

544. x2+y+x+xyR= (x+1)(x+y)

545. 27x2+12x-18xy-8yR= (9x+4)(3x-2y)

546. 40ax-45bx+24ay-27byR= (5x+3y)(8a-9b)

547. 64x3-4x+y3-y R= (4x+y)(16x2-4xy+y2-1)

548. x3+x2-8y3-4y2

R= x2(x+1)+(-4y2)(2y+1)

549. x3+3x2-9x-27R= (x-3)(x+3)2

550. x4-16+2x3-8xR= (x+2)(x3-8)

FACTORIZACION.