{"id":1593,"date":"2019-07-26T17:18:49","date_gmt":"2019-07-26T21:18:49","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1593"},"modified":"2020-02-03T14:00:41","modified_gmt":"2020-02-03T19:00:41","slug":"answer-key-7-7","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-7-7\/","title":{"raw":"Answer Key 7.7","rendered":"Answer Key 7.7"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \\(6a(4c-3b)+15d(4c-3b)\\)\r\n\\((4c-3b)(6a+15d)\\)\r\n\\(3(4c-3b)(2a+5d)\\)<\/li>\r\n \t
  2. \\(-6\\times -5=30\\)\r\n\\(-6+-5=-11\\)\r\n\\(2x^2-6x-5x+15\\)\r\n\\(2x(x-3)-5(x-3)\\)\r\n\\((x-3)(2x-5)\\)<\/li>\r\n \t
  3. \\(-5\\times -4=20\\)\r\n\\(-5+-4=-9\\)\r\n\\(5u^2-5uv-4uv+4v^2\\)\r\n\\(5u(u-v)-4v(u-v)\\)\r\n\\((u-v)(5u-4v)\\)<\/li>\r\n \t
  4. \\((4x+6y)^2\\)<\/li>\r\n \t
  5. \\(-2(x^3-64y^3)\\)\r\n\\(-2(x-4y)(x^2+4xy+16y^2)\\)<\/li>\r\n \t
  6. \\(20u(v-3u^2)-5x(v-3u^2)\\)\r\n\\((v-3u^2)(20u-5x)\\)<\/li>\r\n \t
  7. \\(2(27u^3-8)\\)\r\n\\(2(3u-2)(9u^2+6u+4)\\)<\/li>\r\n \t
  8. \\(2(27-64x^3)\\)\r\n\\(2(3-4x)(9+12x+16x^2)\\)<\/li>\r\n \t
  9. \\(n(n-1)\\)<\/li>\r\n \t
  10. \\(-25\\times 3=-75\\)\r\n\\(-25+3=-22\\)\r\n\\(5x^2-25x+3x-15\\)\r\n\\(5x(x-5)+3(x-5)\\)\r\n\\((x-5)(5x+3)\\)<\/li>\r\n \t
  11. \\(x^2-3xy-xy+3y^2\\)\r\n\\(x(x-3y)-y(x-3y)\\)\r\n\\((x-3y)(x-y)\\)<\/li>\r\n \t
  12. \\(-15\\times -15=225\\)\r\n\\(-15+-15=-30\\)\r\n\\(5(9u^2-30uv+25v^2)\\)\r\n\\(5(9u^2-15uv-15uv+25v^2)\\)\r\n\\(5(3u(3u-5v)-5v(3u-5v))\\)\r\n\\(5(3u-5v)(3u-5v)\\)<\/li>\r\n \t
  13. \\((m-2n)(m+2n)\\)<\/li>\r\n \t
  14. \\(3(4ab-6a+2nb-3n)\\)\r\n\\(3(2a(2b-3)+n(2b-3))\\)\r\n\\(3(2b-3)(2a+n)\\)<\/li>\r\n \t
  15. \\(36b^2c-24b^2d+24ac-16ad\\)\r\n\\(12b^2(3c-2d)+8a(3c-2d)\\)\r\n\\((3c-2d)(12b^2+8a)\\)\r\n\\(4(3c-2d)(3b^2+2a)\\)<\/li>\r\n \t
  16. \\(-4\\times 2=-8\\)\r\n\\(-4+2=-2\\)\r\n\\(3m(m^2-2mn-8n^2)\\)\r\n\\(3m(m^2-4mn+2mn-8n^2)\\)\r\n\\(3m(m(m-4n)+2n(m-4n))\\)\r\n\\(3m(m-4n)(m+2n)\\)<\/li>\r\n \t
  17. \\(2(64+27x^3)\\)\r\n\\(2(4+3x)(16-12x+9x^2)\\)<\/li>\r\n \t
  18. \\((4m+3n)(16m^2-12mn+9n^2)\\)<\/li>\r\n \t
  19. \\(5\\times 2=10\\)\r\n\\(5+2=7\\)\r\n\\(n(n^2+7n+10)\\)\r\n\\(n(n^2+5n+2n+10)\\)\r\n\\(n(n(n+5)+2(n+5))\\)\r\n\\(n(n+5)(n+2)\\)<\/li>\r\n \t
  20. \\((4m-n)(16m^2+4mn+n^2)\\)<\/li>\r\n \t
  21. \\((3x-4)(9x^2+12x+16)\\)<\/li>\r\n \t
  22. \\((4a-3b)(4a+3b)\\)<\/li>\r\n \t
  23. \\(x(5x+2)\\)<\/li>\r\n \t
  24. \\(-6\\times -4=24\\)\r\n\\(-6+-4=-10\\)\r\n\\(2x^2-6x-4x+12\\)\r\n\\(2x(x-3)-4(x-3)\\)\r\n\\((x-3)(2x-4)\\)<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \"6a(4c-3b)+15d(4c-3b)\"
      \n\"(4c-3b)(6a+15d)\"
      \n\"3(4c-3b)(2a+5d)\"<\/li>\n
    2. \"-6\times -5=30\"
      \n\"-6+-5=-11\"
      \n\"2x^2-6x-5x+15\"
      \n\"2x(x-3)-5(x-3)\"
      \n\"(x-3)(2x-5)\"<\/li>\n
    3. \"-5\times -4=20\"
      \n\"-5+-4=-9\"
      \n\"5u^2-5uv-4uv+4v^2\"
      \n\"5u(u-v)-4v(u-v)\"
      \n\"(u-v)(5u-4v)\"<\/li>\n
    4. \"(4x+6y)^2\"<\/li>\n
    5. \"-2(x^3-64y^3)\"
      \n\"-2(x-4y)(x^2+4xy+16y^2)\"<\/li>\n
    6. \"20u(v-3u^2)-5x(v-3u^2)\"
      \n\"(v-3u^2)(20u-5x)\"<\/li>\n
    7. \"2(27u^3-8)\"
      \n\"2(3u-2)(9u^2+6u+4)\"<\/li>\n
    8. \"2(27-64x^3)\"
      \n\"2(3-4x)(9+12x+16x^2)\"<\/li>\n
    9. \"n(n-1)\"<\/li>\n
    10. \"-25\times 3=-75\"
      \n\"-25+3=-22\"
      \n\"5x^2-25x+3x-15\"
      \n\"5x(x-5)+3(x-5)\"
      \n\"(x-5)(5x+3)\"<\/li>\n
    11. \"x^2-3xy-xy+3y^2\"
      \n\"x(x-3y)-y(x-3y)\"
      \n\"(x-3y)(x-y)\"<\/li>\n
    12. \"-15\times -15=225\"
      \n\"-15+-15=-30\"
      \n\"5(9u^2-30uv+25v^2)\"
      \n\"5(9u^2-15uv-15uv+25v^2)\"
      \n\"5(3u(3u-5v)-5v(3u-5v))\"
      \n\"5(3u-5v)(3u-5v)\"<\/li>\n
    13. \"(m-2n)(m+2n)\"<\/li>\n
    14. \"3(4ab-6a+2nb-3n)\"
      \n\"3(2a(2b-3)+n(2b-3))\"
      \n\"3(2b-3)(2a+n)\"<\/li>\n
    15. \"36b^2c-24b^2d+24ac-16ad\"
      \n\"12b^2(3c-2d)+8a(3c-2d)\"
      \n\"(3c-2d)(12b^2+8a)\"
      \n\"4(3c-2d)(3b^2+2a)\"<\/li>\n
    16. \"-4\times 2=-8\"
      \n\"-4+2=-2\"
      \n\"3m(m^2-2mn-8n^2)\"
      \n\"3m(m^2-4mn+2mn-8n^2)\"
      \n\"3m(m(m-4n)+2n(m-4n))\"
      \n\"3m(m-4n)(m+2n)\"<\/li>\n
    17. \"2(64+27x^3)\"
      \n\"2(4+3x)(16-12x+9x^2)\"<\/li>\n
    18. \"(4m+3n)(16m^2-12mn+9n^2)\"<\/li>\n
    19. \"5\times 2=10\"
      \n\"5+2=7\"
      \n\"n(n^2+7n+10)\"
      \n\"n(n^2+5n+2n+10)\"
      \n\"n(n(n+5)+2(n+5))\"
      \n\"n(n+5)(n+2)\"<\/li>\n
    20. \"(4m-n)(16m^2+4mn+n^2)\"<\/li>\n
    21. \"(3x-4)(9x^2+12x+16)\"<\/li>\n
    22. \"(4a-3b)(4a+3b)\"<\/li>\n
    23. \"x(5x+2)\"<\/li>\n
    24. \"-6\times -4=24\"
      \n\"-6+-4=-10\"
      \n\"2x^2-6x-4x+12\"
      \n\"2x(x-3)-4(x-3)\"
      \n\"(x-3)(2x-4)\"<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":59,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1593","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1593","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/users\/727"}],"version-history":[{"count":4,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1593\/revisions"}],"predecessor-version":[{"id":3790,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1593\/revisions\/3790"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1593\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1593"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1593"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1593"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1593"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}