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CAPITULO X

Descomposición Factorial
Ejercicio 89
Factorar o descomponer en dos factores:
  1. a 2 +ab=a(a+b )
  2. b+ b 2 =b(1+b )
  3. x 2 +x=x(x+1 )
  4. 3 a 3 a 2 = a 2 (3a1 )
  5. x 3 4 x 4 = x 3 (14x )
  6. 5 m 2 +15 m 3 =5 m 2 (1+3m )
  7. ab+bc=b(a+c )
  8. x 2 y+ x 2 z= x 2 (y+z )
  9. 2 a 2 x+6a x 2 =2ax(a+3x )
  10. 8 m 2 12mn=4m(2m3n )
  11. 9 a 3 x 2 18a x 3 =9a x 2 (a2x )
  12. 15 c 3 d 2 +60 c 2 d 3 =15 c 2 d 2 (c+4d )
  13. 35 m 2 n 3 70 m 3 =35 m 2 ( n 3 2m )
  14. abc+ab c 2 =abc(1+c )
  15. 24 a 2 x y 2 36 x 2 y 4 =12x y 2 (2 a 2 3x y 2 )
  16. a 3 + a 2 +a=a( a 2 +a+1 )
  17. 4 x 2 8x+2=2(2 x 2 4x+1 )
  18. 15 y 3 +20 y 2 5y=5y(3 y 2 +4y1 )
  19. a 3 a 2 x+a x 2 =a( a 2 ax+ x 2 )
  20. 2 a 2 x+2a x 2 3ax=ax(2a+2x3 )
  21. x 3 + x 5 x 7 = x 3 (1+ x 2 x 4 )
  22. 14 x 2 y 2 28 x 3 +56 x 4 =14 x 2 ( y 2 2x+4 x 2 )
  23. 34a x 2 +51 a 2 y68a y 2 =17a(2 x 2 +3ay4 y 2 )
  24. 9648m n 2 +144 n 3 =48(2m n 2 +3 n 3 )
  25. a 2 b 2 c 2 a 2 c 2 x 2 + a 2 c 2 y 2 = a 2 c 2 ( b 2 x 2 + y 2 )
  26. 55 m 2 n 3 x+110 m 2 n 3 x 2 220 m 2 y 3 =55 m 2 ( n 3 x+2 n 3 x 2 4 y 3 )
  27. 93 a 3 x 2 y62 a 2 x 3 y 2 124 a 2 x=31 a 2 x(3axy2 x 2 y 2 4 )
  28. x x 2 + x 3 x 4 =x(1x+ x 2 x 3 )
  29. a 6 3 a 4 +8 a 3 4 a 2 = a 2 ( a 4 3 a 2 +8a4 )
  30. 25 x 7 10 x 5 +15 x 3 5 x 2 =5 x 2 (5 x 5 2 x 3 +3x1 )
  31. x 15 x 12 +2 x 9 3 x 6 = x 6 ( x 9 x 6 +2 x 3 3 )
  32. 9 a 2 12ab+15 a 3 b 2 24a b 3 =3a(3a4b+5 a 2 b 2 8 b 3 )
  33. 16 x 3 y 2 8 x 2 y24 x 4 y 2 40 x 2 y 3 =8 x 2 y(2xy13 x 2 y5y )
  34. 12 m 2 n+24 m 3 n 2 36 m 4 n 3 +48 m 5 n 4 =12 m 2 n(1+2mn3 m 2 n 2 +4 m 3 n 3 )
  35. 100 a 2 b 3 c150a b 2 c 2 +50a b 3 c 3 200ab c 2 =50abc(2a b 2 3b c 2 + b 2 c 2 4 c 2 )
  36. x 5 x 4 + x 3 x 2 +x=x( x 4 x 3 + x 2 x+1 )
  37. a 2 2 a 3 +3 a 4 4 a 5 +6 a 6 = a 2 (12a+3 a 2 4 a 3 +6 a 4 )
  38. 3 a 2 b+6ab5 a 3 b 2 +8 a 2 bx+4a b 2 m=ab(3a+65 a 2 b+8ax+4bm )
  39. a 20 a 16 + a 12 a 8 + a 4 a 2 = a 2 ( a 18 a 14 + a 10 a 6 + a 2 1 )