1. EJERCICIO 9
Reducir.-
1. 9ª-3ª+5ª=
6ª+5ª=11ª
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

2. 9° =0
= =0
10° =
= = = =
11° =
= = = =
12° =
=
=
=
13° =
=
=
=
14° =0
= =0
15° =

3. = =
16° =
=
=
=
17. - + + -
=
18. -72ax+87ax-101ax+243ax
-173ax+330ax=157ax
19. -82bx-71bx-53bx+206bx
-206bx+206bx= 0
20. - + +
- =0
21.
x
=
22.
=

4. 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

5. 28) a2y – 7a2y – 93a2y + 51 a2y + 48 a2y = (a2y + 51 a2y + 48 1 1 3 3
a2y) + (-7 a2y - 93 a2y) 1
= 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)
4 4 6 2
=( x) + ( x)= x- x= x= x= x 2 2 3 2
1 16 3 3
31) -2x + x + x + x - x = ( x + x + x) + (-2- x ) = - x = - x 12
1 1 1
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

6. 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

7. 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

8. 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.- 15aᶻ -6ab -8aᶻ +20 -5ab -31 +aᶻ -ab= 8aᶻ -12ab -11
15aᶻ -8aᶻ = -7aᶻ +aᶻ = 8aᶻ
-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. 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.-

10. -19+50= 31
13.-
-115+90= -25
=-25
14.-
-11+8= -3

11. 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
¾-1/2 = ¼
= 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

12. 18.-
4 3 2
2 3 2
1 3 3
1 1
=2x2x3 =12
= 2 41 2
1 2 12
6 6 1 2 1 1 1
3 3 1 3 = 2x2 =4
1 1 1
=2x3 =6
19.-
31-6 = 25

13. 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