BUENO

2. ACTIVIDAD Nº 1

3. Factoriza:
 xa + xb
 25x2 – 49
 m2 + 6m + 9
 ab – ay + bx – xy
 x7y4 – x5y6
 mx2 + xy – xz – yz
 x5 – 4x3 – x2 + 4

4. Factoriza:
 (x – 2)y – (x – 2)z
 x(x + 5) + y(x + 5) – z(x + 5)
 x4(2a – 5b) + x(2a – 5b) – (2a – 5b)
 a(p + q) + b(p + q) + c(p + q)
 mx + m2 + xy + my
 ax + x2 + ab + bx
 ax + bx + cx + ay + by + cy

5. Factoriza:
 m2 – mn + mp – np
 m3 + m2 + m + 1
 m2 + mn + mp + np
 – m – n + x(m +n)
 x(3a – 2b) – 3a + 2b
 (c + 1)(ab + 1) + (a + b)(c + 1)
 3b(2x + 3) + 2x + 3

6. Factoriza:
 x2 + y2 – 5y(x2 + y2)
 1 – x – 2y(1 – x)
 x3 – x2 + x – 1
 5y5 – 15y2z + y3 – 3z
 a5 – a4 + a – 1
 3xy – 3xz + 3x – y + z – 1
 2a2x + 2ax + 2x – a2 – a – 1

7. Factoriza:
 x2y2 + x2y + xy2 + xy
 x3y2 + x2y + x2y3 + xy2
 x4y – x2y3 – x3y2 + xy4
 x3 + 2x2y + 4xy2 + 8y3
 a2 – abc – ac – ab + b2c + bc
 (x2 + 2)2 – (2x - 1)2
 (x2 – y2)2 – (y2 – z2)2

8. ACTIVIDAD Nº 2

9. Factoriza:
 x3 + x2 – 9x – 9
 (x + 1)4 – 5(x + 1)2 + 4
 (x2 + 5)2 + 13x(x2 + 5) + 42x2
 x5y4 + x5y2 + x3y4 + x3y2
 (x – 3)(x – 2)(x – 1) + (x – 1)(x – 2) –
(x – 1)
 x2 – (ac – b)x – abc

10. Factoriza:
 a(x – 1) – b(1 – x) + cx – c
 8x2 + 9ac – 6ax – 12cx
 a3 – ab2 + a2b – b3 + a2 – b2
 16x2n + 1 + 12x3n – 20xn–1
 (x + 3)(x + 2)(x + 1) + (x + 2)(x + 1) +
(x + 1)
 (x + 2)(x + 3)(x + 4) + (x + 3)(x + 4) –
(x + 4)

11. Factoriza:
8x2 – 22x + 15
7x2 + 29x – 36
25x4 – 109x2 + 36
4x4 – 37x2 + 9
6x4y3 – x3y4 – 15x2y5
16m8 – 17m4n4 + n8

12. Factoriza:
8x6 + 215x3 – 27
(x2 – 5x + 3)2 + 4x2 – 20x + 15
(x–3)2 – 2(x–3)(y–2) – 3(y–2)2
22m+5 – 3.2m+2 – 35
32m+2 – 3m+1 – 30
x2m+4 – 5xm+4 – 50x4

13. Factoriza:
 x5 + x3 - 2x2 - 2
 x2yz + x2yc + xy2z + cxy2
 x4 - 5x2y2 + 4y4
 x4y3 - 2x3y4 + x2y5
 8x2 - 22x + 15
 x4 - 6x2 - 27
 x2 + 5xy + 6y2 + x + 5y – 6

14. ACTIVIDAD Nº 3

15. Factoriza:
3(x – a)2 – 4(x – a) + 1
5a9b3 + 15a6b7
a3 + a2b + ab2 + b3
8x3 + 27
(x + 1)4 – (x – 1)4
x5 + x2 – x – 1

16. Factoriza:
 a(1 – b2) + b(1 – a2)
 a(b2 + c2) + b(c2 + a2)
 wy + wz – wyz – xy – xz + xyz
 49x2 – 14x + 1
 x2 – 6x – 7
 x2 – 21x + 20
 x2 + 8x + 15

17. Factoriza:
12x3y2z3 – 15x2yz3 – 6x2y3z4 +
9x3y5z3
7x2a – 14xa + 3 + 7xa
3m(a – b + c) – 2n(b – a – c)
2x2 + 2cx – 3bx – 3bc
x3 + x2 + x + 1

18. Factoriza:
a3b4c2 + a2b5c2 + a3b3c3 +
a2b4c3
64x12y3 – 68x8y7 + 4x4y11
x5 – 2x4 –x + 2
x3y – 2x2y + 3xy2
x2yz + 2xy2z + 3xyz2
6 5 4 3

19. Factoriza:
 x2 – 81
 25 – m2
 9x2 – 1
 16 – 9a2
 (x - 1)2 – 49
 (a – b)2 – 4
 16x2 – 81y2