EJERCICIOS DE FACTORIZACION

ejercicio 89

  1. a²+ab = a(a+b)
  2. b+b²= b( 1+b)
  3. x² +x= x(x+1)
  4. 3a³ -2a²= a² (3a -1)
  5. 5m² -15m³= 15 m²( 1-3m)
  6. ab-bc= b( a-c)
  7. x²y + x² z= x² ( y+z)
  8. 2a²x +6ax² = 2ax( a+3x)
  9. 8m² -12mn= 4m ( 2m -3n)
  10. 9a³x²-18a³= 9x² ( a-2x)
  11. 15c³d²+60c²d³= 15c²d²(c+4d)
  12. 35m²n³-70m³= 53m²(n³-2m)
  13. abc+abc²= abc ( 1+c)
  14. 4x²-8x+2 =2)=2(2x²-4x+1)
  15. 2a²x +2ax²-3ax = ax(2a +2x -3)
  16. a3+a2+a= a(a2+a+1)
  17. 4x2-8x+2= (2x²-4x+1)
  18. 15y³+20y²-5y= 5y(3y²+4y-1)
  19. a³-a²x+ax²= a(a²-ax+x²)
  20. 2a²x+2ax²-3ax= ax(2a+2x-3)
  21. x³+x5-x7= x³(1+x²-x4)
  22. 14x²y²-28x³+56x4= 14x(xy²-2x²+4x³)
  23. 34ax²+51a²y-68ay²= 17a(2x²+3ay-4y²)
  24. 96-45mn²+144n³= 48(2-mn²+3n³)
  25. a²b²c²-a²c²x²+a²c²y²= a²c²(b²-x²+y²)

ejercicio 90

  1. a(x+1)+b( x+1)= (x+1)(a+b)
  2. a(a+1)-3(a+1) = (a+1)(x-3)
  3. a(a+1)+y( a+1) = (a+1)(2+y)
  4. 2x(n-1) -3y(n-1) = ( n-1)(2x -3y)
  5. a(n+2) +n+2= (n+2)(a+1)
  6. -m-n +x ( m+n) = -1(-m-n)+x(m+n)= m+n +x(m+n)= -1(m+n)+x(m+n)= (m+n)(x-1)
  7. x(2a+b+c) -2a-b-c= x (2a+b+c)-1( -2a-b-c) x( 2a+b+c)-1(2a+b+c)= (2a+b+c)(x+1)
  8. (x+n)(x+1)+ (x-3)(x+4)= (x-3) (x-4+x +4) = (x+1)(2x)
  9. 3x(x-1)-2y(x-1)+z(x-1)= (x-1)(3x-2y+z)
  10. 1-x+2a( 1-x)= 1(1-x) +2a( 1-x)= (1-x)(1-2a)
  11. 4x(m-n)+n-m= (m-n)( 4x-1)
  12. -m-n +x( m+n) = (m+n)(x-1)
  13. 13.-a³(a-b+1)-b²(a-b+1)= (a-b+1)(a³-b²)
  14. 4m (a² +x -1)+3n(x-1-a²)=
  15. x(2a+b+c)-2a-b-c= (2a+b+c)(x-1)
  16. (x+y)(n-1)-3(n+1)= (n+1)(x+y-3)
  17. (x+1)(x+2)+3y(x-2)= (x-2)(x+1+3y)
  18. (a+3)(a+1)-4(a+1)= (a+1)(a+3-4)