Answer Key 7.7

  1. [latex]6a(4c-3b)+15d(4c-3b)[/latex]
    [latex](4c-3b)(6a+15d)[/latex]
    [latex]3(4c-3b)(2a+5d)[/latex]
  2. [latex]-6\times -5=30[/latex]
    [latex]-6+-5=-11[/latex]
    [latex]2x^2-6x-5x+15[/latex]
    [latex]2x(x-3)-5(x-3)[/latex]
    [latex](x-3)(2x-5)[/latex]
  3. [latex]-5\times -4=20[/latex]
    [latex]-5+-4=-9[/latex]
    [latex]5u^2-5uv-4uv+4v^2[/latex]
    [latex]5u(u-v)-4v(u-v)[/latex]
    [latex](u-v)(5u-4v)[/latex]
  4. [latex](4x+6y)^2[/latex]
  5. [latex]-2(x^3-64y^3)[/latex]
    [latex]-2(x-4y)(x^2+4xy+16y^2)[/latex]
  6. [latex]20u(v-3u^2)-5x(v-3u^2)[/latex]
    [latex](v-3u^2)(20u-5x)[/latex]
  7. [latex]2(27u^3-8)[/latex]
    [latex]2(3u-2)(9u^2+6u+4)[/latex]
  8. [latex]2(27-64x^3)[/latex]
    [latex]2(3-4x)(9+12x+16x^2)[/latex]
  9. [latex]n(n-1)[/latex]
  10. [latex]-25\times 3=-75[/latex]
    [latex]-25+3=-22[/latex]
    [latex]5x^2-25x+3x-15[/latex]
    [latex]5x(x-5)+3(x-5)[/latex]
    [latex](x-5)(5x+3)[/latex]
  11. [latex]x^2-3xy-xy+3y^2[/latex]
    [latex]x(x-3y)-y(x-3y)[/latex]
    [latex](x-3y)(x-y)[/latex]
  12. [latex]-15\times -15=225[/latex]
    [latex]-15+-15=-30[/latex]
    [latex]5(9u^2-30uv+25v^2)[/latex]
    [latex]5(9u^2-15uv-15uv+25v^2)[/latex]
    [latex]5(3u(3u-5v)-5v(3u-5v))[/latex]
    [latex]5(3u-5v)(3u-5v)[/latex]
  13. [latex](m-2n)(m+2n)[/latex]
  14. [latex]3(4ab-6a+2nb-3n)[/latex]
    [latex]3(2a(2b-3)+n(2b-3))[/latex]
    [latex]3(2b-3)(2a+n)[/latex]
  15. [latex]36b^2c-24b^2d+24ac-16ad[/latex]
    [latex]12b^2(3c-2d)+8a(3c-2d)[/latex]
    [latex](3c-2d)(12b^2+8a)[/latex]
    [latex]4(3c-2d)(3b^2+2a)[/latex]
  16. [latex]-4\times 2=-8[/latex]
    [latex]-4+2=-2[/latex]
    [latex]3m(m^2-2mn-8n^2)[/latex]
    [latex]3m(m^2-4mn+2mn-8n^2)[/latex]
    [latex]3m(m(m-4n)+2n(m-4n))[/latex]
    [latex]3m(m-4n)(m+2n)[/latex]
  17. [latex]2(64+27x^3)[/latex]
    [latex]2(4+3x)(16-12x+9x^2)[/latex]
  18. [latex](4m+3n)(16m^2-12mn+9n^2)[/latex]
  19. [latex]5\times 2=10[/latex]
    [latex]5+2=7[/latex]
    [latex]n(n^2+7n+10)[/latex]
    [latex]n(n^2+5n+2n+10)[/latex]
    [latex]n(n(n+5)+2(n+5))[/latex]
    [latex]n(n+5)(n+2)[/latex]
  20. [latex](4m-n)(16m^2+4mn+n^2)[/latex]
  21. [latex](3x-4)(9x^2+12x+16)[/latex]
  22. [latex](4a-3b)(4a+3b)[/latex]
  23. [latex]x(5x+2)[/latex]
  24. [latex]-6\times -4=24[/latex]
    [latex]-6+-4=-10[/latex]
    [latex]2x^2-6x-4x+12[/latex]
    [latex]2x(x-3)-4(x-3)[/latex]
    [latex](x-3)(2x-4)[/latex]

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Intermediate Algebra (Convert to MathJax) Copyright © 2020 by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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