Answer Key 7.6

  1. (x^2-4y^2)(x^2+4y^2)
    (x-2y)(x+2y)(x^2+4y^2)
  2. (4x^2-9y^2)(4x^2+9y^2)
    (2x-3y)(2x+3y)(4x^2+9y^2)
  3. (x^2-16y^2)(x^2+16y^2)
    (x-4y)(x+4y)(x^2+16y^2)
  4. (25x^2-9y^2)(25x^2+9y^2)
    (5x-3y)(5x+3y)(25x^2+9y^2)
  5. (9x^2-4y^2)(9x^2+4y^2)
    (3x+2y)(3x-2y)(9x^2+4y^2)
  6. (x^2-9y^2)(x^2+9y^2)
    (x-3y)(x+3y)(x^2+9y^2)
  7. (25x^2-16y^2)(25x^2+16y^2)
    (5x-4y)(5x+4y)(25x^2+16y^2)
  8. (x^2-9y^2)(x^2+9y^2)
    (x-3y)(x+3y)(x^2+9y^2)
  9. (x^3-y^3)(x^3+y^3)
    (x-y)(x^2+xy+y^2)(x+y)(x^2-xy+y^2)
  10. (x^2)^3+(y^2)^3
    (x^2+y^2)(x^4-x^2y^2+y^4)
  11. (x^3-8y^3)(x^3+8y^3)
    (x-2y)(x^2+2xy+4y^2)(x+2y)(x^2-2xy+4y^2)
  12. (4x^2)^3+(y^2)^3
    (4x^2+y^2)(16x^4-4x^2y^2+y^4)
  13. (27x^3-y^3)(27x^3+y^3)
    (3x-y)(9x^2+3xy+y^2)(3x+y)(9x^2-3xy+y^2)
  14. (9x^2)^3+(y^2)^3
    (9x^2+y^2)(81x^4-9x^2y^2+y^4)
  15. (9x^2)^3+(4y^2)^3
    (9x^2+4y^2)(81x^4-36x^2y^2+16y^4)
  16. (8x^3-125y^3)(8x^3+125y^3)
    (2x-5y)(4x^2+10xy+25y^2)(2x+5y)(4x^2-10xy+25y^2)
  17. [(a+b)-(c-d)][(a+b)+(c-d)]
    [a+b-c+d][a+b+c-d]
  18. [(a+2b)-(3a-4b)][(a+2b)+(3a-4b)]
    [a+2b-3a+4b][a+2b+3a-4b]
    [-2a+6b][4a-2b]
    4[-a+3b][2a-b]
  19. [(a+3b)-(2c-d)][(a+3b)+(2c-d)]
    [a+3b-2c+d][a+3b+2c-d]
  20. [(3a+b)-(a-b)][(3a+b)+(a-b)]
    [2a+2b][4a]
    2[a+b][4a]
    8a(a+b)
  21. [(a+b)-(c-d)][(a+b)^2+(a+b)(c-d)+(c-d)^2]
    [a+b-c+d][a^2+2ab+b^2+ac-ad+bc-bd+c^2-2cd+d^2]
  22. [(a+3b)+(4a-b)][(a+3b)^2-(a+3b)(4a-b)+(4a-b)^2]
    [5a+2b][a^2+6ab+9b^2-4a^2+ab-12ab+3b^2+16a^2-8ab+b^2]
    [5a+2b][13a^2-13ab+13b^2]
    13[5a+2b][a^2-ab+b^2]

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Intermediate Algebra by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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