1. Efectúa las operaciones que se indican.
1. (3x2+2x-2)+(-2x2+5x+5)= 1x2+7x+7
2. (12m2+9m-10)+(8m2+3m+15)= 20m2+12m+5
3. (5x3+6x2-3x+1)+(5x4-6x3+2x-5)= 5x4-1x3+6x2-1x-4
4. (8a5-6a3+6a+5)+(17a5+3a3+4a-7)= 25a5-3a3+10a-2

2. 5. (-3cd4+6d2+2cd-1)+(-3d2+2cd+1)= -3cd4+3d2+4cd
6. (x2-2x+4)-(x2-4x-3)= 2x+7
7. (-7y+2y2+5)-(y2-6-5y)= y2-2y+11
8. (5x2+4)-(2x2-1)= 3x2+5

3. 9. (5x2-3x+6)-(9x2-5x-3)= -4x2+2x+9
10. 5a-3b+c+(4a-5b-c)= 9a-8b
11. 8x-(15y+16z-12x)-(-13x+20y)-(x+y+z)= 32x-36y-17z
12. -(2x-2y)-[3x-(2y-z)-4x]-(3y-2z)= -1x-3y+3z

4. 13. 3a+(4a+7b-4c)-(3a+5b-3c)-(b-c)= 4a+3b
14. 9x+13y-9z-7x-3-y+[2z-(5x-9y+5z)-3z]= 17x-11y+9z
15. 6a-7ab+b-3ac+3bc-c-[(8a+9ab-4b)-(-5ac+2bc-3c)]= -2a-
16ab+5b-8ac+5bc-4c
16. (2x)(2x)(2x)(2x)(2x)= 32x5

5. 17. (-5x)(7x)(-x)= 35x3
18. (4x3)3(2x5)= 24x16
19. (15x5y3)(-9x7y3)= -135x12y9
20. (-x4y2)2(5xy4)(3x2y2)= -15x10y10

6. 21. -5x2(3x2+4x+5)= -15x4-20x2-25x2
22. Xy2(3x2y+5x3y2-x+7y-10)= 3x2y2+5x3y4-x2y2+7xy3-10xy2
23. 2x3(x2+3x+6)= 2x5+5x2+12x
24. (x+7)(x+8)= x2+15x+56

7. 25. (x+2)(x-8)= x2-6x-16
26. (x+4)2= x2+8x+16
27. (5x+2y)(3x-7y)= 15x2-29xy-14y2

8. 28. (x-1)(x2+x+1)= x3-1
29. (x2+4x+4)(x2-2x+1)= x4+2x3-3x2-4x+4
30. X6=
x5
31. 8x3y
4x2y

9. 32. -5x3y5
5x4y7
33. 35x2y5
7xy3
34. X4y3z
(5xy2z3)3
35.
5x2y3
3x2y5

10. 36. 8x3+10x2+6x
2x
37. 15x3y2+12xy2+63y
3xy
38. 12x5+10x3+3x10
4x5

11. 39. 24x8-36x6+40x5
8x7
40. X3-4x-2x2+8
x2-4
41. 35+6x2-31x
2x-7
42. X4- 64
x2+8-4

12. 43. X2-9
x+3
44. X2-5x+6
x-3

13. 1. (x-1)2= x2-2x+1
2. (x2-1)2= x4-2x2+2
3. (4+3y3)2= 16+6y3+9y9
4. (x-2)2= x2-4x+4

14. 5. (1+3x4)2= 1+6x4+9x8
6. (3x-1)2= 9x2-2x+1
7. (a3-a2)2= a9-a4+a4
8. (a+3)(a+3)= a2+6a+9

15. 9. (1-8xy) (1+8xy)= 1-16x2y2
10. (x3-3)2= x9-6x3+9
11. (x3y3-6)(x3y3+6)= x9y9-36
12. (x+y+z)(x+y-z)= x2+x2y2+y2-z

16. 13. (5ax+1-7)(5ax+1-4)=
14. (2+y)(4-2y+y2)= 8+y3
15. 2a2b-1x3y4
3 5
16. (3x+2)(3x-2)= 9x2-4

17. 17. (x-1)(x2+x+1)= x3-1
18. (2mn2+3m-1n-3)2=
19. (7a2b2+5x4)2= 14a4b4+10a2b2x4+25x16
20. (a2-2b)3=

18. 21.
22. (a2b2-1)(a2b2+7)=
23. (m2-m+n)(n+m+m2)= m4n2+m4-m2-n2

19. 24. (6x+2y)(6x-2y)= 36x2-4y2
25. (2x-3)2= 4x2-10x+9
26. (3x-2y)2= 9x2-10xy+4x2
27. (a3-b2)(a3+b2)= a9-b4

20. 28. (x3+6)(x3-8)= x9-2x3-48
29. (5x2-3)3=
30. (5-ab)(25+5ab+a2b2)= 125-a3b3
31. (2a-3b+c)2= 4a2-12ab+4ac+9b2-6bc+c2

21. 32. (x2-4)(x2+4)= x4-16