1. GUIA EJERCITACINAyudante: Vicente Andrs Caerols G.Esta gua es de exclusiva propiedad de quien la emite. No duplicarI) Aplica el cuadrado de un binomio para desarrollar los siguientes ejercicios:(a )2b = 2 ab + 2 a 2b1.(c + d)2=2.(a + 1)2=3.(a2 + b2)2=4.(a2 + b3)2=5.(5 - a)2=6.(3x- 1)2=7.(x3 y3)2=8.(y + 9)2=9.(3a + b)2=10. (3 + b)2=11. (x3 + y3)2=12. (x - y)2=13. (2a - 3b)2=14. (3x2+12)2=15. (a2 - b3)2=16. (3b - c)2=17. (x + 2y)2=18. (4x + y)2=19. (x2 + x)2=20. (a - 4b)2=21. (p2 - q2)2=22. (u - v)2=23. (y - 3)2=24. (0,3x - 0,5)2=25. (1 - yz)2=26. (2x + y)2=27. (10x + 3y)2=28. (3x + 5y)2 =29. (a + 3b)2 =30. (p - 7g)2 =31. (7a - 2b)2 =32. (2z + 3)2=

2. 33. (8u2 9v2)2 =34. (5 + xy)2 =35. (0,la - b)2=36. ( a2 + 5 )2 =2b37. (0,6x + 0,4y)2=38. (x4 5x3)2=39. (1 x7)2=40. (a2b3+a2)2=II) Desarrolla los siguientes productos de sumas por diferencias: (a + ) a )= 2 2 b ( ba b1.(x + 3) (x - 3)=2.(x 5y) (z + 5y)=3.(2a + b) (2a - b)=4.(3a + 2b) (3a - 2b)=5.(z + l0)(z - l0)=6.(x + 3y) (x - 3y) =7.(4a - b) (4a + b) =8.(7u + 1) (7u - 1) =9.(2a + 5b) (2a - 5b) =10. (3p - 4g) (3p + 4g) =11. (8m - 3n) (8m + 3n)=12. (7x + 8y) (7x - 8y)=13. (5x3 - 9y4) (5x3 + 9y4)=14. (0,la - 0,7b) (0,la + 0,7b)=15. (3x - 5 y) (3x + 5 y)=16. (4n + 11)(4n 11)=17. (1,2a + 1,3) (1,2a - 1,3)=18. (22x 3y3)(22x + 3y3)=19. (x2 - 6) (x2 + 6) =20. (a2 + 9) (9 - a2)=21. (uv + 1) ( uv - 1)=22. (2x + 3x2) (2x - 3x2)=23. (x2 + y3) (x2 y3) =24. (1 - y4z5) (1 + y4z5)=25. (ab 0,5)(ab + 0,5)= 3. 26. (5x3 4y2)(4y2 + 5x3)= 27. (13 4x3y7)(4x3y7 + 13)=III) Desarrollar los siguientes cubos de binomios: (a ) 3 b = 3 a 2 b + ab 2 3a 3 3b 1.(x + 5)3= 2.(1 + b)3= 3.(2x + y)3= 4.(a + 4b)3= 5.(4x - 5)3= 6. (z - 3)3= 7. (2 2y)3= 8.8) (2a - 3b)3= 9.9) (x2 + 4)3= 10. 10) (a2 - b2)3= 11. 11) (2x2+3y2)3= 12. 12) (3x2 5y2)3 13.(ab + c2)3= 14.(m - pq)3= 15. (2x5 3x2)3= 3 3 2 16. a b = 4 5 . IV) Desarrolla los siguientes productos de dos binomios: (a ) a ) = 2 +) b ( ca (b c a bc 1. (a + 7)(a + 2) = 2. (b + 4)(b + 10) = 3. (x - 7)(x - 6) = 4. (x + 8)(x + 3) = 5. (x + 9)(x + 8) = 6. (x - 2)(x - 10) = 7. (x - 4)(x - 3) = 8. (a + 2b)(a + 5b) = 9. (x 3y)(x 7y) = 10. (x + 8)(x - 2) = 11. (x + 9)(x - 10) = 12. (x + 12)(x - 6) = 13. (x - 8)(x + 15) = 4. 14. (x + 7)(x - 12) = 15. (x - 16)(x + 12) = 16. (x + 11)(x - 13) = 17. (r 4s)(r 11s) = 18. (5b + 2)(5b + 3) = 19. (x2 + 5)(x2 + 8) = 20. (pq - 8)(pq + 11) = 21. (3 + ab)(17 + ab) = 22. (d2 + 6)(d2 + 1) = 23. (4c3 + 1)(4c3 - 2) = 24. (x2 + 4)(x2 + 1) = 25. (xy - 5)(xy + 11) = 26. (y2 - 7)(y2 + 1) = 27. (3s + 2t)(3s 5t) = 28. (x2 + 4y2)(x2 3y2) =V) Desarrolla los siguientes cuadrados de trinomios: (a ) b 2 c = 2 + 2 + 2 ab ac bca b c 222 1. (2a + 3b + c)2 = 2. (2a - 5b - 7c)2 = 3. (3x 5y + 6z)2 = 4. (2x + 2y - 4)2 = 5. (2x 3y - 5)2 = 6. (8 - a 3b)2 = 7. (2a - 3b + 5)2 = 8. (7 5a 6b)2 = 9. (7m 3m + 5)2 = 10. (6x + 4y 5z)2 = 11. (4 3a 2a2)2 = 12. (4a + 5b - 6c)2 = 13. (b2 - 8b + 1)2 = 14. (5x + x2 - 3)2 = 15. (2ab 3a - b)2 =VI) Desarrolla los siguientes productos notables: 1. (a + 3b)(a 3b) = 5. 2. (x + 0,2)(0,2 x) = 3.(x2 - 1)2 = 4.(xy - x)2 = 5.(ab - 2)(ab + 2) = 6.(7a - 3)2 =22 7.(3a - b)(3a + b) =1 8.(4 a - b)2 = 9.(x - 3)(x + 4) = 10. (2x + 1)(2x - 3) = 11. (x 4y)(x + 4y)= 12. (a2 - b)2 = 1 1 13. ( 4 xy y )( 4 xy + y )= 14. (5x 4)2 = 15. (a 2)(a - 4) = 16. (2ab - 2)(2ab + 1) = 17. (a2b b)2 = 18. (a3 + 1)2 = 19. (x 0,4)(0,4 + x) =VII) Desarrolla los productos y reduce los trminos semejantes:1.(a 2b)2 (a 3b)(a + 3b) + (a b)(a 2b) =2.(x 3)(2x + 1) + (x 3)(x + 5) + (x 4)2 =3.(x 3) (x + 3) - (x + 2)2 - (x + 2) (x + 3) =4.( 2 a) (2 + a) - (a + 4)(a 2) - (a + 1)2 =5.(2x y) (2x + 3y) - 3(x2 2xy + 2y2) - (x + 2y)2 =6.(2a 3)(2a + 1) + (a 3)2 (a + 5)(a 4) =7.(a 1)(a - 2) - (a + 3)2 + (2a - 1)(a + 2) =8.(x + 2)(x - 2) - (x + 2)(x - 5) + (x + 2)2 =9.(x - 7)(x - 6) - (x + 1)(x - 1) + (x - 3)(2x + 1) =10. (2x 5y)2 + (7x 2y)(7x + 2y) - (x 3y)(x 7y) =11. (x - 4)2 + (x - 4)(2x - 1) - (x - 4)(x - 1) =12. (a + 7)(a + 2) - (a - 3)2 2a(a - 3) =13. (x - 3)(x + 4) - (2x + 3)2 + 3(x2 2x + 5) =14. (2x + 1)(2x - 3) - (2x - 3)2 =15. (2x - 2)(2x + 3) - 3(x2 2x - 1) (x 3)(x + 3) =16. 2(x + 3y)2 + 3(2x + y)(y 2x) = 6. 17. (a 3b)(a + 3b) - (2a - b)(a + 3b) =18. 3a(2a 3) (2a b)(b + 2a) =19. (x2 2y2)2 2y2(y + x)(y - x) =20. -5(x + 1)(1 - x) + (x + 2)(x - 1) + 2(x 1)2 (2x 2)(x 3) =21. 4(x + 1)2 + 3(2x + 3)(2x - 1) + 4(x2 + 1) =22. 7(x - 1)(x + 1) - 6(x2 + 2x + 1) - 6(x - 1)(2x + 3) =23. (3x - 5)(3x + 7) - (x - 2)2 + 3(x - 1)(x + 1) =24. (a2 3)2 2a2(a + 1)(a - 1) + a2(2a2 - 3) =25. 3(x + 3)(x - 2) + (x - 6)2 + 3(x 7)(x + 7) =