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Answer Key 7.6

  1. (x24y2)(x2+4y2)
    (x2y)(x+2y)(x2+4y2)
  2. (4x29y2)(4x2+9y2)
    (2x3y)(2x+3y)(4x2+9y2)
  3. (x216y2)(x2+16y2)
    (x4y)(x+4y)(x2+16y2)
  4. (25x29y2)(25x2+9y2)
    (5x3y)(5x+3y)(25x2+9y2)
  5. (9x24y2)(9x2+4y2)
    (3x+2y)(3x2y)(9x2+4y2)
  6. (x29y2)(x2+9y2)
    (x3y)(x+3y)(x2+9y2)
  7. (25x216y2)(25x2+16y2)
    (5x4y)(5x+4y)(25x2+16y2)
  8. (x29y2)(x2+9y2)
    (x3y)(x+3y)(x2+9y2)
  9. (x3y3)(x3+y3)
    (xy)(x2+xy+y2)(x+y)(x2xy+y2)
  10. (x2)3+(y2)3
    (x2+y2)(x4x2y2+y4)
  11. (x38y3)(x3+8y3)
    (x2y)(x2+2xy+4y2)(x+2y)(x22xy+4y2)
  12. (4x2)3+(y2)3
    (4x2+y2)(16x44x2y2+y4)
  13. (27x3y3)(27x3+y3)
    (3xy)(9x2+3xy+y2)(3x+y)(9x23xy+y2)
  14. (9x2)3+(y2)3
    (9x2+y2)(81x49x2y2+y4)
  15. (9x2)3+(4y2)3
    (9x2+4y2)(81x436x2y2+16y4)
  16. (8x3125y3)(8x3+125y3)
    (2x5y)(4x2+10xy+25y2)(2x+5y)(4x210xy+25y2)
  17. [(a+b)(cd)][(a+b)+(cd)]
    [a+bc+d][a+b+cd]
  18. [(a+2b)(3a4b)][(a+2b)+(3a4b)]
    [a+2b3a+4b][a+2b+3a4b]
    [2a+6b][4a2b]
    4[a+3b][2ab]
  19. [(a+3b)(2cd)][(a+3b)+(2cd)]
    [a+3b2c+d][a+3b+2cd]
  20. [(3a+b)(ab)][(3a+b)+(ab)]
    [2a+2b][4a]
    2[a+b][4a]
    8a(a+b)
  21. [(a+b)(cd)][(a+b)2+(a+b)(cd)+(cd)2]
    [a+bc+d][a2+2ab+b2+acad+bcbd+c22cd+d2]
  22. [(a+3b)+(4ab)][(a+3b)2(a+3b)(4ab)+(4ab)2]
    [5a+2b][a2+6ab+9b24a2+ab12ab+3b2+16a28ab+b2]
    [5a+2b][13a213ab+13b2]
    13[5a+2b][a2ab+b2]

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