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Answer Key 8.5

  1. (1+1x)x2(11x2)x2x2+xx21x(x+1)(x+1)(x1)xx1
  2. (11y2)y2(1+1y)y2y21y2+y(y1)(y+1)y(y+1)y1y
  3. (ab+2)b2(a2b24)b2ab+2b2a24b2b(a+2b)(a+2b)(a2b)ba2b
  4. (1y29)y2(1y+3)y219y2y+3y2(13y)(1+3y)y(1+3y)13yy
  5. (1a21a)a2(1a2+1a)a21a1+a
  6. (1b+12)2b(b21)(4b21)2b(b21)2b(b21)+b(b21)4(2b)2b22+b3b8b
    a
    b3+2b2b28b(b1)(b+1)(b+2)8b
  7. (x+29x+2)(x+2)(x+1+x7x+2)(x+2)(x+2)(x+2)9(x+1)(x+2)+x7x2+4x+49x2+3x+2+x7
    a
    x2+4x5x2+4x51
  8. (a3+a3a+2)(a+2)(a+44a5a+2)(a+2)(a3)(a+2)+a3(a+4)(a+2)4a5a2+2a3a6+a3a2+2a+4a+84a5
    a
    a29a2+2a+3(a3)(a+3)a2+2a+3
  9. (x+yy+yxy)y(xy)(yxy)y(xy)(x+y)(xy)+y(y)y(y)
    a
    x2y2+y2y2x2y2
  10. (abaaa+b)a(a+b)(b2a+b)a(a+b)(ab)(a+b)a(a)b2(a)
    a
    a2b2a2ab2b2ab2
  11. (xyy+x+yxy)y(xy)(yxy)y(xy)(xy)(xy)+(x+y)(y)y(y)
    a
    x22xy+y2+xy+y2y2x2xy+2y2y2
  12. (x2x+2x+2x2)(x+2)(x2)(x2x+2+x+2x2)(x+2)(x2)x24x+4(x2+4x+4)x24x+4+x2+4x+48x2x2+8
    a
    2(4x)2(x2+4)4xx2+4

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