{"id":1907,"date":"2021-12-02T19:39:55","date_gmt":"2021-12-03T00:39:55","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-7-7\/"},"modified":"2023-09-01T14:19:11","modified_gmt":"2023-09-01T18:19:11","slug":"answer-key-7-7","status":"publish","type":"back-matter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-7-7\/","title":{"raw":"Answer Key 7.7","rendered":"Answer Key 7.7"},"content":{"raw":"
    \r\n \t
  1. [latex]6a(4c-3b)+15d(4c-3b)[\/latex]\r\n[latex](4c-3b)(6a+15d)[\/latex]\r\n[latex]3(4c-3b)(2a+5d)[\/latex]<\/li>\r\n \t
  2. [latex]-6\\times -5=30[\/latex]\r\n[latex]-6+-5=-11[\/latex]\r\n[latex]2x^2-6x-5x+15[\/latex]\r\n[latex]2x(x-3)-5(x-3)[\/latex]\r\n[latex](x-3)(2x-5)[\/latex]<\/li>\r\n \t
  3. [latex]-5\\times -4=20[\/latex]\r\n[latex]-5+-4=-9[\/latex]\r\n[latex]5u^2-5uv-4uv+4v^2[\/latex]\r\n[latex]5u(u-v)-4v(u-v)[\/latex]\r\n[latex](u-v)(5u-4v)[\/latex]<\/li>\r\n \t
  4. [latex](4x+6y)^2[\/latex]<\/li>\r\n \t
  5. [latex]-2(x^3-64y^3)[\/latex]\r\n[latex]-2(x-4y)(x^2+4xy+16y^2)[\/latex]<\/li>\r\n \t
  6. [latex]20u(v-3u^2)-5x(v-3u^2)[\/latex]\r\n[latex](v-3u^2)(20u-5x)[\/latex]<\/li>\r\n \t
  7. [latex]2(27u^3-8)[\/latex]\r\n[latex]2(3u-2)(9u^2+6u+4)[\/latex]<\/li>\r\n \t
  8. [latex]2(27-64x^3)[\/latex]\r\n[latex]2(3-4x)(9+12x+16x^2)[\/latex]<\/li>\r\n \t
  9. [latex]n(n-1)[\/latex]<\/li>\r\n \t
  10. [latex]-25\\times 3=-75[\/latex]\r\n[latex]-25+3=-22[\/latex]\r\n[latex]5x^2-25x+3x-15[\/latex]\r\n[latex]5x(x-5)+3(x-5)[\/latex]\r\n[latex](x-5)(5x+3)[\/latex]<\/li>\r\n \t
  11. [latex]x^2-3xy-xy+3y^2[\/latex]\r\n[latex]x(x-3y)-y(x-3y)[\/latex]\r\n[latex](x-3y)(x-y)[\/latex]<\/li>\r\n \t
  12. [latex]-15\\times -15=225[\/latex]\r\n[latex]-15+-15=-30[\/latex]\r\n[latex]5(9u^2-30uv+25v^2)[\/latex]\r\n[latex]5(9u^2-15uv-15uv+25v^2)[\/latex]\r\n[latex]5(3u(3u-5v)-5v(3u-5v))[\/latex]\r\n[latex]5(3u-5v)(3u-5v)[\/latex]<\/li>\r\n \t
  13. [latex](m-2n)(m+2n)[\/latex]<\/li>\r\n \t
  14. [latex]3(4ab-6a+2nb-3n)[\/latex]\r\n[latex]3(2a(2b-3)+n(2b-3))[\/latex]\r\n[latex]3(2b-3)(2a+n)[\/latex]<\/li>\r\n \t
  15. [latex]36b^2c-24b^2d+24ac-16ad[\/latex]\r\n[latex]12b^2(3c-2d)+8a(3c-2d)[\/latex]\r\n[latex](3c-2d)(12b^2+8a)[\/latex]\r\n[latex]4(3c-2d)(3b^2+2a)[\/latex]<\/li>\r\n \t
  16. [latex]-4\\times 2=-8[\/latex]\r\n[latex]-4+2=-2[\/latex]\r\n[latex]3m(m^2-2mn-8n^2)[\/latex]\r\n[latex]3m(m^2-4mn+2mn-8n^2)[\/latex]\r\n[latex]3m(m(m-4n)+2n(m-4n))[\/latex]\r\n[latex]3m(m-4n)(m+2n)[\/latex]<\/li>\r\n \t
  17. [latex]2(64+27x^3)[\/latex]\r\n[latex]2(4+3x)(16-12x+9x^2)[\/latex]<\/li>\r\n \t
  18. [latex](4m+3n)(16m^2-12mn+9n^2)[\/latex]<\/li>\r\n \t
  19. [latex]5\\times 2=10[\/latex]\r\n[latex]5+2=7[\/latex]\r\n[latex]n(n^2+7n+10)[\/latex]\r\n[latex]n(n^2+5n+2n+10)[\/latex]\r\n[latex]n(n(n+5)+2(n+5))[\/latex]\r\n[latex]n(n+5)(n+2)[\/latex]<\/li>\r\n \t
  20. [latex](4m-n)(16m^2+4mn+n^2)[\/latex]<\/li>\r\n \t
  21. [latex](3x-4)(9x^2+12x+16)[\/latex]<\/li>\r\n \t
  22. [latex](4a-3b)(4a+3b)[\/latex]<\/li>\r\n \t
  23. [latex]x(5x+2)[\/latex]<\/li>\r\n \t
  24. [latex]-6\\times -4=24[\/latex]\r\n[latex]-6+-4=-10[\/latex]\r\n[latex]2x^2-6x-4x+12[\/latex]\r\n[latex]2x(x-3)-4(x-3)[\/latex]\r\n[latex](x-3)(2x-4)[\/latex]<\/li>\r\n<\/ol>","rendered":"
      \n
    1. [latex]6a(4c-3b)+15d(4c-3b)[\/latex]
      \n[latex](4c-3b)(6a+15d)[\/latex]
      \n[latex]3(4c-3b)(2a+5d)[\/latex]<\/li>\n
    2. [latex]-6\\times -5=30[\/latex]
      \n[latex]-6+-5=-11[\/latex]
      \n[latex]2x^2-6x-5x+15[\/latex]
      \n[latex]2x(x-3)-5(x-3)[\/latex]
      \n[latex](x-3)(2x-5)[\/latex]<\/li>\n
    3. [latex]-5\\times -4=20[\/latex]
      \n[latex]-5+-4=-9[\/latex]
      \n[latex]5u^2-5uv-4uv+4v^2[\/latex]
      \n[latex]5u(u-v)-4v(u-v)[\/latex]
      \n[latex](u-v)(5u-4v)[\/latex]<\/li>\n
    4. [latex](4x+6y)^2[\/latex]<\/li>\n
    5. [latex]-2(x^3-64y^3)[\/latex]
      \n[latex]-2(x-4y)(x^2+4xy+16y^2)[\/latex]<\/li>\n
    6. [latex]20u(v-3u^2)-5x(v-3u^2)[\/latex]
      \n[latex](v-3u^2)(20u-5x)[\/latex]<\/li>\n
    7. [latex]2(27u^3-8)[\/latex]
      \n[latex]2(3u-2)(9u^2+6u+4)[\/latex]<\/li>\n
    8. [latex]2(27-64x^3)[\/latex]
      \n[latex]2(3-4x)(9+12x+16x^2)[\/latex]<\/li>\n
    9. [latex]n(n-1)[\/latex]<\/li>\n
    10. [latex]-25\\times 3=-75[\/latex]
      \n[latex]-25+3=-22[\/latex]
      \n[latex]5x^2-25x+3x-15[\/latex]
      \n[latex]5x(x-5)+3(x-5)[\/latex]
      \n[latex](x-5)(5x+3)[\/latex]<\/li>\n
    11. [latex]x^2-3xy-xy+3y^2[\/latex]
      \n[latex]x(x-3y)-y(x-3y)[\/latex]
      \n[latex](x-3y)(x-y)[\/latex]<\/li>\n
    12. [latex]-15\\times -15=225[\/latex]
      \n[latex]-15+-15=-30[\/latex]
      \n[latex]5(9u^2-30uv+25v^2)[\/latex]
      \n[latex]5(9u^2-15uv-15uv+25v^2)[\/latex]
      \n[latex]5(3u(3u-5v)-5v(3u-5v))[\/latex]
      \n[latex]5(3u-5v)(3u-5v)[\/latex]<\/li>\n
    13. [latex](m-2n)(m+2n)[\/latex]<\/li>\n
    14. [latex]3(4ab-6a+2nb-3n)[\/latex]
      \n[latex]3(2a(2b-3)+n(2b-3))[\/latex]
      \n[latex]3(2b-3)(2a+n)[\/latex]<\/li>\n
    15. [latex]36b^2c-24b^2d+24ac-16ad[\/latex]
      \n[latex]12b^2(3c-2d)+8a(3c-2d)[\/latex]
      \n[latex](3c-2d)(12b^2+8a)[\/latex]
      \n[latex]4(3c-2d)(3b^2+2a)[\/latex]<\/li>\n
    16. [latex]-4\\times 2=-8[\/latex]
      \n[latex]-4+2=-2[\/latex]
      \n[latex]3m(m^2-2mn-8n^2)[\/latex]
      \n[latex]3m(m^2-4mn+2mn-8n^2)[\/latex]
      \n[latex]3m(m(m-4n)+2n(m-4n))[\/latex]
      \n[latex]3m(m-4n)(m+2n)[\/latex]<\/li>\n
    17. [latex]2(64+27x^3)[\/latex]
      \n[latex]2(4+3x)(16-12x+9x^2)[\/latex]<\/li>\n
    18. [latex](4m+3n)(16m^2-12mn+9n^2)[\/latex]<\/li>\n
    19. [latex]5\\times 2=10[\/latex]
      \n[latex]5+2=7[\/latex]
      \n[latex]n(n^2+7n+10)[\/latex]
      \n[latex]n(n^2+5n+2n+10)[\/latex]
      \n[latex]n(n(n+5)+2(n+5))[\/latex]
      \n[latex]n(n+5)(n+2)[\/latex]<\/li>\n
    20. [latex](4m-n)(16m^2+4mn+n^2)[\/latex]<\/li>\n
    21. [latex](3x-4)(9x^2+12x+16)[\/latex]<\/li>\n
    22. [latex](4a-3b)(4a+3b)[\/latex]<\/li>\n
    23. [latex]x(5x+2)[\/latex]<\/li>\n
    24. [latex]-6\\times -4=24[\/latex]
      \n[latex]-6+-4=-10[\/latex]
      \n[latex]2x^2-6x-4x+12[\/latex]
      \n[latex]2x(x-3)-4(x-3)[\/latex]
      \n[latex](x-3)(2x-4)[\/latex]<\/li>\n<\/ol>\n","protected":false},"author":90,"menu_order":64,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"back-matter-type":[],"contributor":[],"license":[56],"class_list":["post-1907","back-matter","type-back-matter","status-publish","hentry","license-cc-by-nc-sa"],"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1907","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":4,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1907\/revisions"}],"predecessor-version":[{"id":2224,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1907\/revisions\/2224"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1907\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1907"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter-type?post=1907"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1907"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1907"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}