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

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

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.- 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.- 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

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

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