Respuestas sección 3.4

Respuestas a los ejercicios 1 al 50. Factorización.

  1. $\hspace{0.1cm}17a\left(2x^2+3ay-4y^2\right)\\[0.2cm]$
  2. $\hspace{0.1cm}31a^2x\left(3ax-2xy^2-4\right)\\[0.2cm]$
  3. $\hspace{0.1cm}\left(x+1\right)\left(x-a^2\right)\\[0.2cm]$
  4. $\hspace{0.1cm}\left(x^2+y^2\right)\left(3ab-2\right)\\[0.2cm]$
  5. $\hspace{0.1cm}\left(xy+z^2\right)\left(2x+y^2\right)\\[0.2cm]$
  6. $\hspace{0.1cm}\left(x+y+a\right)\left(x+y-a\right)\\[0.2cm]$
  7. $\hspace{0.1cm}\left(1+x-2y\right)\left(1-x+2y\right)\\[0.2cm]$
  8. $\hspace{0.1cm}3\left(a-2c\right)\\[0.2cm]$
  9. $\hspace{0.1cm}\left(3x-8\right)\left(x+2\right)\\[0.2cm]$
  10. $\hspace{0.1cm}\left(3x-2a\right)\left(-x+2a\right)\\[0.2cm]$
  11. $\hspace{0.1cm}\left(4x-5\right)\left(4x+3\right)\\[0.2cm]$
  12. $\hspace{0.1cm}\left(m-n+8\right)\left(m-n-3\right)\\[0.2cm]$
  13. $\hspace{0.1cm}\left(5x-12\right)\left(5x+7\right)\\[0.2cm]$
  14. $\hspace{0.1cm}\left(c+d-13\right)\left(c+d-5\right)\\[0.2cm]$
  15. $\hspace{0.1cm}\left(4x^2-15\right)\left(4x^2+7\right)\\[0.2cm]$
  16. $\hspace{0.1cm}\left(5x^4+2\right)\left(2x^4+5\right)\\[0.2cm]$
  17. $\hspace{0.1cm}\left(5xy-4\right)\left(4xy+5\right)\\[0.2cm]$
  18. $\hspace{0.1cm}\left(-3a-5\right)\left(a-6\right)\\[0.2cm]$
  1. $\hspace{0.1cm}\left(4x-5mn\right)\left(x+3mn\right)\\[0.2cm]$
  2. $\hspace{0.1cm}\left(3x^5-10\right)\left(10x^5+3\right)\\[0.2cm]$
  3. $\hspace{0.1cm}\left(3b-5a^2\right)^2\\[0.2cm]$
  4. $\hspace{0.1cm}\left(\frac{a}{2}-b\right)^2\\[0.2cm]$
  5. $\hspace{0.1cm}\left(1+\frac{b}{3}\right)^2\\[0.2cm]$
  6. $\hspace{0.1cm}\left(\frac{1}{5}-\frac{5x^2}{6}\right)^2\\[0.2cm]$
  7. $\hspace{0.1cm}\left(\frac{n}{3}+3m\right)^2\\[0.2cm]$
  8. $\hspace{0.1cm}\left(m^2+mn+n^2\right)\left(m^2-mn+n^2\right)\\[0.2cm]$
  9. $\hspace{0.1cm}\left(a^2+ab-b^2\right)\left(a^2-ab-b^2\right)\\[0.2cm]$
  10. $\hspace{0.1cm}\left(9m^4+4m^2+1\right)\left(9m^4-4m^2+1\right)\\[0.2cm]$
  11. $\hspace{0.1cm}\left(5x^2+7xy-9y^2\right)\left(5x^2-7xy-9y^2\right)\\[0.2cm]$
  12. $\hspace{0.1cm}\left(11x^2+xy^2-6y^4\right)\left(11x^2-xy^2-6y^4\right)\\[0.2cm]$
  13. $\hspace{0.1cm}x^3+8\\[0.2cm]$
  14. $\hspace{0.1cm}x^6+27\\[0.2cm]$
  15. $\hspace{0.1cm}x^3+1\\[0.2cm]$
  16. $\hspace{0.1cm}27x^3+8\\[0.2cm]$
  1. $\hspace{0.1cm}x^{15}+64y^3\\[0.2cm]$
  2. $\hspace{0.1cm}x^3-64\\[0.2cm]$
  3. $\hspace{0.1cm}125x^3-8\\[0.2cm]$
  4. $\hspace{0.1cm}8x^3-\frac{1}{27}\\[0.2cm]$
  5. $\hspace{0.1cm}m^6-216\\[0.2cm]$
  6. $\hspace{0.1cm}27a^3-b^3\\[0.2cm]$
  7. $\hspace{0.1cm}\left(x-y+m\right)\left(x-y-m\right)\\[0.2cm]$
  8. $\hspace{0.1cm}\left(a+b-1\right)\left(a-b-1\right)\\[0.2cm]$
  9. $\hspace{0.1cm}\left(2x+5y+6\right)\left(2x+5y-6\right)\\[0.2cm]$
  10. $\hspace{0.1cm}\left(3x-4a+1\right)\left(3x-4a-1\right)\\[0.2cm]$
  11. $\hspace{0.1cm}\left(m+x+y\right)\left(m-x-y\right)\\[0.2cm]$
  12. $\hspace{0.1cm}\left(5+x-4y\right)\left(5-x+4y\right)\\[0.2cm]$
  13. $\hspace{0.1cm}\left(5m+a+1\right)\left(5m-a-1\right)\\[0.2cm]$
  14. $\hspace{0.1cm}\left(7x^2+5x-3y\right)\left(7x^2-5x+3y\right)\\[0.2cm]$
  15. $\hspace{0.1cm}\left(a-b+c+d\right)\left(a-b-c-d\right)\\[0.2cm]$
  16. $\hspace{0.1cm}\left(3x-2y+a+5b\right)\left(3x-2y-a-5b\right)\\[0.2cm]$