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EJERCICIO 9
Reducir.-
1. 9-3+5=
6+5=11
2. -8x+9x-x=
-1x+x=0
3. 12mn-23mn-5mn=
-11mn-5mn=-16mn
4. x+19x-18x=
18x-18x=0
5. 19m-10m+6m=
9m+6m=15m
6. -11ab-15ab+26ab=
-26ab+26ab=0
7. -5a+9a-35a=
4a-35a=-31a
8. -24
=
-39
+39a
= 0
-
9
= 0
= = 0
10
=
=
=
=
=
11
=
=
=
=
=
12 =
=
=
=
13 =
=
=
=
14 = 0
= = 0
15 =
-
= =
16 =
=
=
=
17. - + + -
=
18. -72ax+87ax-101ax+243ax
-173ax+330ax=157ax
19. -82bx-71bx-53bx+206bx
-206bx+206bx= 0
20. - + +
- =0
21.
x
=
22.
=
-
23.
=
24.
=
25) a + 8a 11a + 15a 75a = (8a + 15a) + (-a 11a 8a 75a)
= 23a 87a = -64a
26) -7c + 21c + 14c 30c + 82c = (14c + 21c + 82c) + (-7c 30c)
= 117c 37c = 80c
27) mn + 14mn 31mn mn + 20mn = (14mn + 20mn) + (- 31mn mn -
mn)
=34mn 33mn = mn
2 2 3 2
-
28) a2y 7a2y 93a2y + 51 a2y + 48 a2y = (a2y + 51 a2y + 48
a2y) + (-7 a2y - 93 a2y)
= 100 a2y - 100 a2y = 0
29) a +a a +a -3a +6a= (+a +a +6a) + (-a a 3a) =8a 5a = 3a
30) x +
x -
x +
x
x +
x -x = (
x +
x +
x) + (-
x x)
= (
x) + (
x)=
x -
x =
x =
x =
x
31) -2x +
x +
x + x -
x = (
x +
x + x) + (-2-
x ) = -
x = -
x
32) 7a - 30a - 41a - 9a + 73a = (7a + 73a) + (- 30a -
41a - 9a)
= 80a -80a = 0
33.-
=
34.- a+6a-20a+150a-80a+31a
150a-80a+31a-20a+6a+a=88a
1 1 3 3
1
4 4 6 2
2 2 3 2
1 1 3 3
1 1 1
6
12
-
35.- -9b-11b-17b-b+110b=
110b-81b-17b-11b-b=9b
36.- -a2b+15a2 b+a2 b-85a2b -131a2b+39a2b
-131a2b-85a2b+39a2b+15a2b+a2b-a2b= -162a2b
37.-84m2x-501m2x-604m2x-715m2x+231m2x+165m2x
-715m2x-604m2x-501m2x+231m2x + 165m2x + 84m2x= 1340m2x
38.-
a3b2 +
a3b2 -
a3b2 -
a3b2 + 4a3b2
4 a3b2 +
a3b2
a3b2 +
a3b2
=
a3b2 = 4
a3b2
39.- 40a -81a + 130a +41a -83a -91a +16a
130a -91a -83a -81a + 41a +40a +16a = -28a
40.- -21ab+52ab-60ab+84ab-31ab-ab-23ab
-136ab+136ab= 0
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EJERCICIO 10
1. - 7a -9b +6a -4b = 13a-13b
7a + 6a=13a
-9b 4b= -13b
2.- a + b c b c +2c a = 0
a-a= 0
b-b= 0
-c-c= -2c + 2c = 0
3.- 5x -11y -9 +20x -1 y = 25x -12y -10
-5x + 20x= 25x
-11y y = -12y
-9 -1 = -10
4.- -6m +8n +5 m n -6m -11= -13m +7n -6
-6m m -6m = -13m
8n n = 7n
5 -11 = -6
-
5.- -a +b +2b -2c +3a+2c -3b= 2a
-a +3a= 2a
b+2b -3b = 0
-2c +2c = 0
6.- -81x +19y -30z +6y +80x +x -25y= -30z
-81x +80x +x= -81x +81x = 0
+19y +6y = 25y -25y = 0
-30z
7.- 15a -6ab -8a +20 -5ab -31 +a -ab= 8a -12ab -11
15a -8a = -7a +a = 8a
-6ab -5ab ab = -12ab
20 -31 = -11
8.- -3a +4b -6a +81b -114b +31a -a -b = 21a-30b
-3a -6a=-9a +31a =22a a = 21a
4b +81b = 85b -114b = -29b b = -30b
-
9.- b
=
10.- -a+b-c+8+2a+2b-19-2c-3a-3-3b+3c
-4a+2a= -2a
-3b+3b= 0
-3c+3c=0
8-22= -14
= -2a-14
11.-
71mn-65mn= 6mn
12.-
-
-19+50= 31
13.-
-115+90= -25
=-25
14.-
-11+8= -3
-
15.- 0.3a+0.4b+0.5c-0.6a-0.7b-0.9c+3a-3b-3c
3.3a-0.6a = 2.7a
0.4b-3.7b= -3.3b
0.5c-3.9c= -3.4c
= 2.7a-3.3b-3.4c
16.- 1/2a+1/3b+2a-3b-3/4a-1/6b+3/4-1/2 2 1 4 2
a 1 1 2 2 =2x2
1 1 1 =4
-1/2 =
= 7/4a -17/6b+1/4 3 2 6 2
3 1 3 3 = 2x3
1 1 1 =6
17.-
5 10 2
5 5 5 = 2x5
1 1 =10
-
18.-
=
19.-
31-6 = 25
4 3 2
2 3 2
1 3 3
1 1
=2x2x3 =12
2 4 1 2
1 2 1 2
1 1 1
= 2x2 =4
6 6 1 2
3 3 1 3
1 1 1
=2x3 =6
-
20.-
25 5 1 5
5 1 1 5
1 1 1
=5x5 =25 50 25 5 2
25 25 5 5
5 5 1 5
1 1 1
=2x5x5 =50