{"id":1566,"date":"2019-07-25T17:03:05","date_gmt":"2019-07-25T21:03:05","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1566"},"modified":"2019-07-26T13:02:26","modified_gmt":"2019-07-26T17:02:26","slug":"answer-key-7-3","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-7-3\/","title":{"raw":"Answer Key 7.3","rendered":"Answer Key 7.3"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \\(9\\times 8 = 72\\)\r\n\\(9+8=17\\)\r\n\\(p^2+9p+8p+72\\)\r\n\\(p(p+9)+8(p+9)\\)\r\n\\((p+9)(p+8)\\)<\/li>\r\n \t
  2. \\(9\\times -8=-72\\)\r\n\\(9+-8=1\\)\r\n\\(x^2+9x-8x-72\\)\r\n\\(x(x+9)-8(x+9)\\)\r\n\\((x+9)(x-8)\\)<\/li>\r\n \t
  3. \\(-8\\times -1 = 8\\)\r\n\\(-8+-1=-9\\)\r\n\\(n^2-n-8n+8\\)\r\n\\(n(n-1)-8(n-1)\\)\r\n\\((n-1)(n-8)\\)<\/li>\r\n \t
  4. \\(6\\times -5 = -30\\)\r\n\\(6+-5=1\\)\r\n\\(x^2+6x-5x-30\\)\r\n\\(x(x+6)-5(x+6)\\)\r\n\\((x+6)(x-5)\\)<\/li>\r\n \t
  5. \\(-10\\times 1 = -10\\)\r\n\\(-10+1=-9\\)\r\n\\(x^2-10x+x-10\\)\r\n\\(x(x-10)+1(x-10)\\)\r\n\\((x-10)(x+1)\\)<\/li>\r\n \t
  6. \\(8\\times 5 = 40\\)\r\n\\(8+5=13\\)\r\n\\(x^2+8x+5x+40\\)\r\n\\(x(x+8)+5(x+8)\\)\r\n\\((x+8)(x+5)\\)<\/li>\r\n \t
  7. \\(4\\times 8 =32\\)\r\n\\(4+8=12\\)\r\n\\(b^2+4b+8b+32\\)\r\n\\(b(b+4)+8(b+4)\\)\r\n\\((b+4)(b+8)\\)<\/li>\r\n \t
  8. \\(-7\\times -10=70\\)\r\n\\(-7+-10=-17\\)\r\n\\(b^2-7b-10b+70\\)\r\n\\(b(b-7)-10(b-7)\\)\r\n\\((b-7)(b-10)\\)<\/li>\r\n \t
  9. \\(-3\\times -5=15\\)\r\n\\(-3+-5=-8\\)\r\n\\(u^2-3uv-5uv+15v^2\\)\r\n\\(u(u-3v)-5v(u-3v)\\)\r\n\\((u-3v)(u-5v)\\)<\/li>\r\n \t
  10. \\(-8\\times 5 =-40\\)\r\n\\(-8+5=-3\\)\r\n\\(m^2-8mn+5mn-40n^2\\)\r\n\\(m(m-8n)+5n(m-8n)\\)\r\n\\((m-8n)(m+5n)\\)<\/li>\r\n \t
  11. \\(4\\times -2=-8\\)\r\n\\(4+-2=2\\)\r\n\\(m^2+4mn-2mn-8n^2\\)\r\n\\(m(m+4n)-2n(m+4n)\\)\r\n\\((m+4n)(m-2n)\\)<\/li>\r\n \t
  12. \\(8\\times 2=16\\)\r\n\\(8+2=10\\)\r\n\\(x^2+8xy+2xy+16y^2\\)\r\n\\(x(x+8y)+2y(x+8y)\\)\r\n\\((x+8y)(x+2y)\\)<\/li>\r\n \t
  13. \\(-9\\times -2=18\\)\r\n\\(-9+-2=-11\\)\r\n\\(x^2-9xy-2xy+18y^2\\)\r\n\\(x(x-9y)-2y(x-9y)\\)\r\n\\((x-9y)(x-2y)\\)<\/li>\r\n \t
  14. \\(-2\\times -7=14\\)\r\n\\(-2+-7=-9\\)\r\n\\(u^2-2uv-7uv+14v^2\\)\r\n\\(u(u-2v)-7v(u-2v)\\)\r\n\\((u-2v)(u-7v)\\)<\/li>\r\n \t
  15. \\(4\\times -3=-12\\)\r\n\\(4+-3=1\\)\r\n\\(x^2+4xy-3xy-12y^2\\)\r\n\\(x(x+4y)-3y(x+4y)\\)\r\n\\((x+4y)(x-3y)\\)<\/li>\r\n \t
  16. \\(5\\times 9=45\\)\r\n\\(5+9=14\\)\r\n\\(x^2+5xy+9xy+45y^2\\)\r\n\\(x(x+5y)+9y(x+5y)\\)\r\n\\((x+5y)(x+9y)\\)<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \"9\times 8 = 72\"
      \n\"9+8=17\"
      \n\"p^2+9p+8p+72\"
      \n\"p(p+9)+8(p+9)\"
      \n\"(p+9)(p+8)\"<\/li>\n
    2. \"9\times -8=-72\"
      \n\"9+-8=1\"
      \n\"x^2+9x-8x-72\"
      \n\"x(x+9)-8(x+9)\"
      \n\"(x+9)(x-8)\"<\/li>\n
    3. \"-8\times -1 = 8\"
      \n\"-8+-1=-9\"
      \n\"n^2-n-8n+8\"
      \n\"n(n-1)-8(n-1)\"
      \n\"(n-1)(n-8)\"<\/li>\n
    4. \"6\times -5 = -30\"
      \n\"6+-5=1\"
      \n\"x^2+6x-5x-30\"
      \n\"x(x+6)-5(x+6)\"
      \n\"(x+6)(x-5)\"<\/li>\n
    5. \"-10\times 1 = -10\"
      \n\"-10+1=-9\"
      \n\"x^2-10x+x-10\"
      \n\"x(x-10)+1(x-10)\"
      \n\"(x-10)(x+1)\"<\/li>\n
    6. \"8\times 5 = 40\"
      \n\"8+5=13\"
      \n\"x^2+8x+5x+40\"
      \n\"x(x+8)+5(x+8)\"
      \n\"(x+8)(x+5)\"<\/li>\n
    7. \"4\times 8 =32\"
      \n\"4+8=12\"
      \n\"b^2+4b+8b+32\"
      \n\"b(b+4)+8(b+4)\"
      \n\"(b+4)(b+8)\"<\/li>\n
    8. \"-7\times -10=70\"
      \n\"-7+-10=-17\"
      \n\"b^2-7b-10b+70\"
      \n\"b(b-7)-10(b-7)\"
      \n\"(b-7)(b-10)\"<\/li>\n
    9. \"-3\times -5=15\"
      \n\"-3+-5=-8\"
      \n\"u^2-3uv-5uv+15v^2\"
      \n\"u(u-3v)-5v(u-3v)\"
      \n\"(u-3v)(u-5v)\"<\/li>\n
    10. \"-8\times 5 =-40\"
      \n\"-8+5=-3\"
      \n\"m^2-8mn+5mn-40n^2\"
      \n\"m(m-8n)+5n(m-8n)\"
      \n\"(m-8n)(m+5n)\"<\/li>\n
    11. \"4\times -2=-8\"
      \n\"4+-2=2\"
      \n\"m^2+4mn-2mn-8n^2\"
      \n\"m(m+4n)-2n(m+4n)\"
      \n\"(m+4n)(m-2n)\"<\/li>\n
    12. \"8\times 2=16\"
      \n\"8+2=10\"
      \n\"x^2+8xy+2xy+16y^2\"
      \n\"x(x+8y)+2y(x+8y)\"
      \n\"(x+8y)(x+2y)\"<\/li>\n
    13. \"-9\times -2=18\"
      \n\"-9+-2=-11\"
      \n\"x^2-9xy-2xy+18y^2\"
      \n\"x(x-9y)-2y(x-9y)\"
      \n\"(x-9y)(x-2y)\"<\/li>\n
    14. \"-2\times -7=14\"
      \n\"-2+-7=-9\"
      \n\"u^2-2uv-7uv+14v^2\"
      \n\"u(u-2v)-7v(u-2v)\"
      \n\"(u-2v)(u-7v)\"<\/li>\n
    15. \"4\times -3=-12\"
      \n\"4+-3=1\"
      \n\"x^2+4xy-3xy-12y^2\"
      \n\"x(x+4y)-3y(x+4y)\"
      \n\"(x+4y)(x-3y)\"<\/li>\n
    16. \"5\times 9=45\"
      \n\"5+9=14\"
      \n\"x^2+5xy+9xy+45y^2\"
      \n\"x(x+5y)+9y(x+5y)\"
      \n\"(x+5y)(x+9y)\"<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":55,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1566","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1566","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":3,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1566\/revisions"}],"predecessor-version":[{"id":1568,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1566\/revisions\/1568"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1566\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1566"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1566"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1566"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1566"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}