Respuestas sección 3.4

Respuestas a los ejercicios 1 al 50. Factorización.

  1. 17a(2x2+3ay−4y2)\hspace{0.1cm}17a\left(2x^2+3ay-4y^2\right)\\[0.2cm]
  2. 31a2x(3ax−2xy2−4)\hspace{0.1cm}31a^2x\left(3ax-2xy^2-4\right)\\[0.2cm]
  3. (x+1)(x−a2)\hspace{0.1cm}\left(x+1\right)\left(x-a^2\right)\\[0.2cm]
  4. (x2+y2)(3ab−2)\hspace{0.1cm}\left(x^2+y^2\right)\left(3ab-2\right)\\[0.2cm]
  5. (xy+z2)(2x+y2)\hspace{0.1cm}\left(xy+z^2\right)\left(2x+y^2\right)\\[0.2cm]
  6. (x+y+a)(x+y−a)\hspace{0.1cm}\left(x+y+a\right)\left(x+y-a\right)\\[0.2cm]
  7. (1+x−2y)(1−x+2y)\hspace{0.1cm}\left(1+x-2y\right)\left(1-x+2y\right)\\[0.2cm]
  8. 3(a−2c)\hspace{0.1cm}3\left(a-2c\right)\\[0.2cm]
  9. (3x−8)(x+2)\hspace{0.1cm}\left(3x-8\right)\left(x+2\right)\\[0.2cm]
  10. (3x−2a)(−x+2a)\hspace{0.1cm}\left(3x-2a\right)\left(-x+2a\right)\\[0.2cm]
  11. (4x−5)(4x+3)\hspace{0.1cm}\left(4x-5\right)\left(4x+3\right)\\[0.2cm]
  12. (m−n+8)(m−n−3)\hspace{0.1cm}\left(m-n+8\right)\left(m-n-3\right)\\[0.2cm]
  13. (5x−12)(5x+7)\hspace{0.1cm}\left(5x-12\right)\left(5x+7\right)\\[0.2cm]
  14. (c+d−13)(c+d−5)\hspace{0.1cm}\left(c+d-13\right)\left(c+d-5\right)\\[0.2cm]
  15. (4x2−15)(4x2+7)\hspace{0.1cm}\left(4x^2-15\right)\left(4x^2+7\right)\\[0.2cm]
  16. (5x4+2)(2x4+5)\hspace{0.1cm}\left(5x^4+2\right)\left(2x^4+5\right)\\[0.2cm]
  17. (5xy−4)(4xy+5)\hspace{0.1cm}\left(5xy-4\right)\left(4xy+5\right)\\[0.2cm]
  18. (−3a−5)(a−6)\hspace{0.1cm}\left(-3a-5\right)\left(a-6\right)\\[0.2cm]
  1. (4x−5mn)(x+3mn)\hspace{0.1cm}\left(4x-5mn\right)\left(x+3mn\right)\\[0.2cm]
  2. (3x5−10)(10x5+3)\hspace{0.1cm}\left(3x^5-10\right)\left(10x^5+3\right)\\[0.2cm]
  3. (3b−5a2)2\hspace{0.1cm}\left(3b-5a^2\right)^2\\[0.2cm]
  4. (a2−b)2\hspace{0.1cm}\left(\frac{a}{2}-b\right)^2\\[0.2cm]
  5. (1+b3)2\hspace{0.1cm}\left(1+\frac{b}{3}\right)^2\\[0.2cm]
  6. (15−5x26)2\hspace{0.1cm}\left(\frac{1}{5}-\frac{5x^2}{6}\right)^2\\[0.2cm]
  7. (n3+3m)2\hspace{0.1cm}\left(\frac{n}{3}+3m\right)^2\\[0.2cm]
  8. (m2+mn+n2)(m2−mn+n2)\hspace{0.1cm}\left(m^2+mn+n^2\right)\left(m^2-mn+n^2\right)\\[0.2cm]
  9. (a2+ab−b2)(a2−ab−b2)\hspace{0.1cm}\left(a^2+ab-b^2\right)\left(a^2-ab-b^2\right)\\[0.2cm]
  10. (9m4+4m2+1)(9m4−4m2+1)\hspace{0.1cm}\left(9m^4+4m^2+1\right)\left(9m^4-4m^2+1\right)\\[0.2cm]
  11. (5x2+7xy−9y2)(5x2−7xy−9y2)\hspace{0.1cm}\left(5x^2+7xy-9y^2\right)\left(5x^2-7xy-9y^2\right)\\[0.2cm]
  12. (11x2+xy2−6y4)(11x2−xy2−6y4)\hspace{0.1cm}\left(11x^2+xy^2-6y^4\right)\left(11x^2-xy^2-6y^4\right)\\[0.2cm]
  13. x3+8\hspace{0.1cm}x^3+8\\[0.2cm]
  14. x6+27\hspace{0.1cm}x^6+27\\[0.2cm]
  15. x3+1\hspace{0.1cm}x^3+1\\[0.2cm]
  16. 27x3+8\hspace{0.1cm}27x^3+8\\[0.2cm]
  1. x15+64y3\hspace{0.1cm}x^{15}+64y^3\\[0.2cm]
  2. x3−64\hspace{0.1cm}x^3-64\\[0.2cm]
  3. 125x3−8\hspace{0.1cm}125x^3-8\\[0.2cm]
  4. 8x3−127\hspace{0.1cm}8x^3-\frac{1}{27}\\[0.2cm]
  5. m6−216\hspace{0.1cm}m^6-216\\[0.2cm]
  6. 27a3−b3\hspace{0.1cm}27a^3-b^3\\[0.2cm]
  7. (x−y+m)(x−y−m)\hspace{0.1cm}\left(x-y+m\right)\left(x-y-m\right)\\[0.2cm]
  8. (a+b−1)(a−b−1)\hspace{0.1cm}\left(a+b-1\right)\left(a-b-1\right)\\[0.2cm]
  9. (2x+5y+6)(2x+5y−6)\hspace{0.1cm}\left(2x+5y+6\right)\left(2x+5y-6\right)\\[0.2cm]
  10. (3x−4a+1)(3x−4a−1)\hspace{0.1cm}\left(3x-4a+1\right)\left(3x-4a-1\right)\\[0.2cm]
  11. (m+x+y)(m−x−y)\hspace{0.1cm}\left(m+x+y\right)\left(m-x-y\right)\\[0.2cm]
  12. (5+x−4y)(5−x+4y)\hspace{0.1cm}\left(5+x-4y\right)\left(5-x+4y\right)\\[0.2cm]
  13. (5m+a+1)(5m−a−1)\hspace{0.1cm}\left(5m+a+1\right)\left(5m-a-1\right)\\[0.2cm]
  14. (7x2+5x−3y)(7x2−5x+3y)\hspace{0.1cm}\left(7x^2+5x-3y\right)\left(7x^2-5x+3y\right)\\[0.2cm]
  15. (a−b+c+d)(a−b−c−d)\hspace{0.1cm}\left(a-b+c+d\right)\left(a-b-c-d\right)\\[0.2cm]
  16. (3x−2y+a+5b)(3x−2y−a−5b)\hspace{0.1cm}\left(3x-2y+a+5b\right)\left(3x-2y-a-5b\right)\\[0.2cm]