{"id":1445,"date":"2019-06-24T14:12:49","date_gmt":"2019-06-24T18:12:49","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1445"},"modified":"2020-02-03T14:51:10","modified_gmt":"2020-02-03T19:51:10","slug":"answer-key-6-5","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-6-5\/","title":{"raw":"Answer Key 6.5","rendered":"Answer Key 6.5"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \\(6p-42\\)<\/li>\r\n \t
  2. \\(32k^2+16k\\)<\/li>\r\n \t
  3. \\(12x+6\\)<\/li>\r\n \t
  4. \\(18n^3+21n^2\\)<\/li>\r\n \t
  5. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&8n&+&8&& \\\\\r\n\\times &4n&+&6&& \\\\\r\n\\midrule\r\n&32n^2&+&32n&& \\\\\r\n&&&48n&+&48 \\\\\r\n\\midrule\r\n&32n^2&+&80n&+&48\r\n\\end{array}\\)<\/li>\r\n \t
  6. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&x&-&4&& \\\\\r\n\\times &2x&+&1&& \\\\\r\n\\midrule\r\n&2x^2&-&8x&& \\\\\r\n&&&x&-&4 \\\\\r\n\\midrule\r\n&2x^2&-&7x&-&4\r\n\\end{array}\\)<\/li>\r\n \t
  7. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&7b&-&5&& \\\\\r\n\\times &8b&+&3&& \\\\\r\n\\midrule\r\n&56b^2&-&40b&& \\\\\r\n&&+&21b&-&15 \\\\\r\n\\midrule\r\n&56b^2&-&19b&-&15\r\n\\end{array}\\)<\/li>\r\n \t
  8. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&4r&+&8&& \\\\\r\n\\times &r&+&8&& \\\\\r\n\\midrule\r\n&4r^2&+&8r&& \\\\\r\n&&+&32r&+&64 \\\\\r\n\\midrule\r\n&4r^2&+&40r&+&64\r\n\\end{array}\\)<\/li>\r\n \t
  9. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&5v&-&2&& \\\\\r\n\\times &3v&-&4&& \\\\\r\n\\midrule\r\n&15v^2&-&6v&& \\\\\r\n&&-&20v&+&8 \\\\\r\n\\midrule\r\n&15v^2&-&26v&+&8\r\n\\end{array}\\)<\/li>\r\n \t
  10. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&a&-&8&& \\\\\r\n\\times &6a&+&4&& \\\\\r\n\\midrule\r\n&6a^2&-&48a&& \\\\\r\n&&+&4a&-&32 \\\\\r\n\\midrule\r\n&6a^2&-&44a&-&32\r\n\\end{array}\\)<\/li>\r\n \t
  11. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&6x&-&4y&& \\\\\r\n\\times &5x&+&y&& \\\\\r\n\\midrule\r\n&30x^2&-&20xy&& \\\\\r\n&&+&6xy&-&4y^2 \\\\\r\n\\midrule\r\n&30x^2&-&14xy&-&4y^2\r\n\\end{array}\\)<\/li>\r\n \t
  12. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&8u&-&7v&& \\\\\r\n\\times &2u&+&3v&& \\\\\r\n\\midrule\r\n&16u^2&-&14uv&& \\\\\r\n&&+&24uv&-&21v^2 \\\\\r\n\\midrule\r\n&16u^2&+&10uv&-&21v^2\r\n\\end{array}\\)<\/li>\r\n \t
  13. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&8x&+&3y&& \\\\\r\n\\times &7x&+&5y&& \\\\\r\n\\midrule\r\n&56x^2&+&21xy&& \\\\\r\n&&+&40xy&+&15y^2 \\\\\r\n\\midrule\r\n&56x^2&+&61xy&+&15y^2\r\n\\end{array}\\)<\/li>\r\n \t
  14. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&a&-&3b&& \\\\\r\n\\times &5a&+&8b&& \\\\\r\n\\midrule\r\n&5a^2&-&15ab&& \\\\\r\n&&+&8ab&-&24b^2 \\\\\r\n\\midrule\r\n&5a^2&-&7ab&-&24b^2\r\n\\end{array}\\)<\/li>\r\n \t
  15. \\(\\begin{array}{rrrrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&6r^2&-&r&+&5&& \\\\\r\n\\times &&&r&-&7&& \\\\\r\n\\midrule\r\n&6r^3&-&r^2&+&5r&& \\\\\r\n&&-&42r^2&+&7r&-&35 \\\\\r\n\\midrule\r\n&6r^3&-&43r^2&+&12r&-&35\r\n\\end{array}\\)<\/li>\r\n \t
  16. \\(\\begin{array}{rrrrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&4x^2&+&3x&+&5&& \\\\\r\n\\times &&&4x&+&8&& \\\\\r\n\\midrule\r\n&16x^3&+&12x^2&+&20x&& \\\\\r\n&&+&32x^2&+&24x&+&40 \\\\\r\n\\midrule\r\n&16x^3&+&44x^2&+&44x&+&40\r\n\\end{array}\\)<\/li>\r\n \t
  17. \\(\\begin{array}{rrrrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&2n^2&-&2n&+&5&& \\\\\r\n\\times &&&6n&-&4&& \\\\\r\n\\midrule\r\n&12n^3&-&12n^2&+&30n&& \\\\\r\n&&-&8n^2&+&8n&-&20 \\\\\r\n\\midrule\r\n&12n^3&-&20n^2&+&38n&-&20\r\n\\end{array}\\)<\/li>\r\n \t
  18. \\(\\begin{array}{rrrrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&4b^2&+&4b&+&4&& \\\\\r\n\\times &&&2b&-&3&& \\\\\r\n\\midrule\r\n&8b^3&+&8b^2&+&8b&& \\\\\r\n&&-&12b^2&-&12b&-&12 \\\\\r\n\\midrule\r\n&8b^3&-&4b^2&-&4b&-&12\r\n\\end{array}\\)<\/li>\r\n \t
  19. \\(\\begin{array}{rrrrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&6x^2&-&7xy&+&4y^2&& \\\\\r\n\\times &&&6x&+&3y&& \\\\\r\n\\midrule\r\n&36x^3&-&42x^2y&+&24xy^2&& \\\\\r\n&&+&18x^2y&-&21xy^2&+&12y^3 \\\\\r\n\\midrule\r\n&36x^3&-&24x^2y&+&3xy^2&+&12y^3\r\n\\end{array}\\)<\/li>\r\n \t
  20. \\(\\begin{array}{rrrrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n&7m^2&+&6mn&+&4n^2&& \\\\\r\n\\times &&&3m&-&2n&& \\\\\r\n\\midrule\r\n&21m^3&+&18m^2n&+&12mn^2&& \\\\\r\n&&-&14m^2n&-&12mn^2&-&8n^3 \\\\\r\n\\midrule\r\n&21m^3&+&4m^2n&-&8n^3&&\r\n\\end{array}\\)<\/li>\r\n \t
  21. \\(\\begin{array}{rrrrrrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&6n^2&-&5n&+&6&&&& \\\\\r\n\\times&8n^2&+&4n&+&6&&&& \\\\\r\n\\midrule\r\n&48n^4&-&40n^3&+&48n^2&&&& \\\\\r\n&&+&24n^3&-&20n^2&+&24n&& \\\\\r\n&&&&+&36n^2&-&30n&+&36 \\\\\r\n\\midrule\r\n&48n^4&-&16n^3&+&64n^2&-&6n&+&36\r\n\\end{array}\\)<\/li>\r\n \t
  22. \\(\\begin{array}{rrrrrrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&7a^2&-&6a&+&1&&&& \\\\\r\n\\times&2a^2&+&6a&+&3&&&& \\\\\r\n\\midrule\r\n&14a^4&-&12a^3&+&2a^2&&&& \\\\\r\n&&+&42a^3&-&36a^2&+&6a&& \\\\\r\n&&&&+&21a^2&-&18a&+&3 \\\\\r\n\\midrule\r\n&14a^4&+&30a^3&-&13a^2&-&12a&+&3\r\n\\end{array}\\)<\/li>\r\n \t
  23. \\(\\begin{array}{rrrrrrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&3k^2&+&3k&+&6&&&& \\\\\r\n\\times&5k^2&+&3k&+&3&&&& \\\\\r\n\\midrule\r\n&15k^4&+&15k^3&+&30k^2&&&& \\\\\r\n&&+&9k^3&+&9k^2&+&18k&& \\\\\r\n&&&&+&9k^2&+&9k&+&18 \\\\\r\n\\midrule\r\n&15k^4&+&24k^3&+&48k^2&+&27k&+&18\r\n\\end{array}\\)<\/li>\r\n \t
  24. \\(\\begin{array}{rrrrrrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&6u^2&+&4uv&+&3v^2&&&& \\\\\r\n\\times &7u^2&+&8uv&-&6v^2&&&& \\\\\r\n\\midrule\r\n&42u^4&+&28u^3v&+&21u^2v^2&&&& \\\\\r\n&&+&48u^3v&+&32u^2v^2&+&24uv^3&& \\\\\r\n&&&&-&36u^2v^2&-&24uv^3&-&18v^4 \\\\\r\n\\midrule\r\n&42u^4&+&76u^3v&+&17u^2v^2&-&18v^4&& \\\\\r\n\\end{array}\\)<\/li>\r\n \t
  25. \\(\\begin{array}{rrrrrrrrrrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&2n^3&-&8n^2&+&3n&+&6&&&&&& \\\\\r\n\\times&n^3&-&6n^2&-&2n&+&3&&&&&& \\\\\r\n\\midrule\r\n&2n^6&-&8n^5&+&3n^4&+&6n^3&&&&&& \\\\\r\n&&-&12n^5&+&48n^4&-&18n^3&-&36n^2&&&& \\\\\r\n&&&&-&4n^4&+&16n^3&-&6n^2&-&12n&& \\\\\r\n&&&&&&+&6n^3&-&24n^2&+&9n&+&18 \\\\\r\n\\midrule\r\n&2n^6&-&20n^5&+&47n^4&+&10n^3&-&66n^2&-&3n&+&18\r\n\\end{array}\\)<\/li>\r\n \t
  26. \\(\\begin{array}{rrrrrrrrrrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&a^3&+&2a^2&+&3a&+&3&&&&&& \\\\\r\n\\times&a^3&+&2a^2&-&4a&+&1&&&&&& \\\\\r\n\\midrule\r\n&a^6&+&2a^5&+&3a^4&+&3a^3&&&&&& \\\\\r\n&&+&2a^5&+&4a^4&+&6a^3&+&6a^2&&&& \\\\\r\n&&&&-&4a^4&-&8a^3&-&12a^2&-&12a&& \\\\\r\n&&&&&&+&a^3&+&2a^2&+&3a&+&3 \\\\\r\n\\midrule\r\n&a^6&+&4a^5&+&3a^4&+&2a^3&-&4a^2&-&9a&+&3\r\n\\end{array}\\)<\/li>\r\n \t
  27. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&2x&+&1&& \\\\\r\n\\times &3x&-&4&& \\\\\r\n\\midrule\r\n&6x^2&+&3x&& \\\\\r\n&&-&8x&-&4 \\\\\r\n\\midrule\r\n&3(6x^2&-&5x&-&4) \\\\\r\n&18x^2&-&15x&-&12\r\n\\end{array}\\)<\/li>\r\n \t
  28. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&2x&-&3&& \\\\\r\n\\times &x&-&4&& \\\\\r\n\\midrule\r\n&2x^2&-&3x&& \\\\\r\n&&-&8x&+&12 \\\\\r\n\\midrule\r\n&5(2x^2&-&11x&+&12) \\\\\r\n&10x^2&-&55x&+&60\r\n\\end{array}\\)<\/li>\r\n \t
  29. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&4x&-&5&& \\\\\r\n\\times &2x&+&1&& \\\\\r\n\\midrule\r\n&8x^2&-&10x&& \\\\\r\n&&+&4x&-&5 \\\\\r\n\\midrule\r\n&3(8x^2&-&6x&-&5) \\\\\r\n&24x^2&-&18x&-&15\r\n\\end{array}\\)<\/li>\r\n \t
  30. \\(\\begin{array}{rrrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n&2x&-&6&& \\\\\r\n\\times &4x&+&1&& \\\\\r\n\\midrule\r\n&8x^2&-&24x&& \\\\\r\n&&+&2x&-&6 \\\\\r\n\\midrule\r\n&2(8x^2&-&22x&-&6) \\\\\r\n&16x^2&-&44x&-&12\r\n\\end{array}\\)<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \"6p-42\"<\/li>\n
    2. \"32k^2+16k\"<\/li>\n
    3. \"12x+6\"<\/li>\n
    4. \"18n^3+21n^2\"<\/li>\n
    5. \"\begin{array}{rrrrrr}<\/li>\n
    6. \"\begin{array}{rrrrrr}<\/li>\n
    7. \"\begin{array}{rrrrrr}<\/li>\n
    8. \"\begin{array}{rrrrrr}<\/li>\n
    9. \"\begin{array}{rrrrrr}<\/li>\n
    10. \"\begin{array}{rrrrrr}<\/li>\n
    11. \"\begin{array}{rrrrrr}<\/li>\n
    12. \"\begin{array}{rrrrrr}<\/li>\n
    13. \"\begin{array}{rrrrrr}<\/li>\n
    14. \"\begin{array}{rrrrrr}<\/li>\n
    15. \"\begin{array}{rrrrrrrr}<\/li>\n
    16. \"\begin{array}{rrrrrrrr}<\/li>\n
    17. \"\begin{array}{rrrrrrrr}<\/li>\n
    18. \"\begin{array}{rrrrrrrr}<\/li>\n
    19. \"\begin{array}{rrrrrrrr}<\/li>\n
    20. \"\begin{array}{rrrrrrrr}<\/li>\n
    21. \"\begin{array}{rrrrrrrrrr}<\/li>\n
    22. \"\begin{array}{rrrrrrrrrr}<\/li>\n
    23. \"\begin{array}{rrrrrrrrrr}<\/li>\n
    24. \"\begin{array}{rrrrrrrrrr}<\/li>\n
    25. \"\begin{array}{rrrrrrrrrrrrrr}<\/li>\n
    26. \"\begin{array}{rrrrrrrrrrrrrr}<\/li>\n
    27. \"\begin{array}{rrrrrr}<\/li>\n
    28. \"\begin{array}{rrrrrr}<\/li>\n
    29. \"\begin{array}{rrrrrr}<\/li>\n
    30. \"\begin{array}{rrrrrr}<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":48,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1445","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1445","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":5,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1445\/revisions"}],"predecessor-version":[{"id":3807,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1445\/revisions\/3807"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1445\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1445"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1445"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1445"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1445"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}