{"id":1587,"date":"2019-07-26T15:01:18","date_gmt":"2019-07-26T19:01:18","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1587"},"modified":"2020-02-03T13:59:00","modified_gmt":"2020-02-03T18:59:00","slug":"answer-key-7-6","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-7-6\/","title":{"raw":"Answer Key 7.6","rendered":"Answer Key 7.6"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \\((x^2-4y^2)(x^2+4y^2)\\)\r\n\\((x-2y)(x+2y)(x^2+4y^2)\\)<\/li>\r\n \t
  2. \\((4x^2-9y^2)(4x^2+9y^2)\\)\r\n\\((2x-3y)(2x+3y)(4x^2+9y^2)\\)<\/li>\r\n \t
  3. \\((x^2-16y^2)(x^2+16y^2)\\)\r\n\\((x-4y)(x+4y)(x^2+16y^2)\\)<\/li>\r\n \t
  4. \\((25x^2-9y^2)(25x^2+9y^2)\\)\r\n\\((5x-3y)(5x+3y)(25x^2+9y^2)\\)<\/li>\r\n \t
  5. \\((9x^2-4y^2)(9x^2+4y^2)\\)\r\n\\((3x+2y)(3x-2y)(9x^2+4y^2)\\)<\/li>\r\n \t
  6. \\((x^2-9y^2)(x^2+9y^2)\\)\r\n\\((x-3y)(x+3y)(x^2+9y^2)\\)<\/li>\r\n \t
  7. \\((25x^2-16y^2)(25x^2+16y^2)\\)\r\n\\((5x-4y)(5x+4y)(25x^2+16y^2)\\)<\/li>\r\n \t
  8. \\((x^2-9y^2)(x^2+9y^2)\\)\r\n\\((x-3y)(x+3y)(x^2+9y^2)\\)<\/li>\r\n \t
  9. \\((x^3-y^3)(x^3+y^3)\\)\r\n\\((x-y)(x^2+xy+y^2)(x+y)(x^2-xy+y^2)\\)<\/li>\r\n \t
  10. \\((x^2)^3+(y^2)^3\\)\r\n\\((x^2+y^2)(x^4-x^2y^2+y^4)\\)<\/li>\r\n \t
  11. \\((x^3-8y^3)(x^3+8y^3)\\)\r\n\\((x-2y)(x^2+2xy+4y^2)(x+2y)(x^2-2xy+4y^2)\\)<\/li>\r\n \t
  12. \\((4x^2)^3+(y^2)^3\\)\r\n\\((4x^2+y^2)(16x^4-4x^2y^2+y^4)\\)<\/li>\r\n \t
  13. \\((27x^3-y^3)(27x^3+y^3)\\)\r\n\\((3x-y)(9x^2+3xy+y^2)(3x+y)(9x^2-3xy+y^2)\\)<\/li>\r\n \t
  14. \\((9x^2)^3+(y^2)^3\\)\r\n\\((9x^2+y^2)(81x^4-9x^2y^2+y^4)\\)<\/li>\r\n \t
  15. \\((9x^2)^3+(4y^2)^3\\)\r\n\\((9x^2+4y^2)(81x^4-36x^2y^2+16y^4)\\)<\/li>\r\n \t
  16. \\((8x^3-125y^3)(8x^3+125y^3)\\)\r\n\\((2x-5y)(4x^2+10xy+25y^2)(2x+5y)(4x^2-10xy+25y^2)\\)<\/li>\r\n \t
  17. \\([(a+b)-(c-d)][(a+b)+(c-d)]\\)\r\n\\([a+b-c+d][a+b+c-d]\\)<\/li>\r\n \t
  18. \\([(a+2b)-(3a-4b)][(a+2b)+(3a-4b)]\\)\r\n\\([a+2b-3a+4b][a+2b+3a-4b]\\)\r\n\\([-2a+6b][4a-2b]\\)\r\n\\(4[-a+3b][2a-b]\\)<\/li>\r\n \t
  19. \\([(a+3b)-(2c-d)][(a+3b)+(2c-d)]\\)\r\n\\([a+3b-2c+d][a+3b+2c-d]\\)<\/li>\r\n \t
  20. \\([(3a+b)-(a-b)][(3a+b)+(a-b)]\\)\r\n\\([2a+2b][4a]\\)\r\n\\(2[a+b][4a]\\)\r\n\\(8a(a+b)\\)<\/li>\r\n \t
  21. \\([(a+b)-(c-d)][(a+b)^2+(a+b)(c-d)+(c-d)^2]\\)\r\n\\([a+b-c+d][a^2+2ab+b^2+ac-ad+bc-bd+c^2-2cd+d^2]\\)<\/li>\r\n \t
  22. \\([(a+3b)+(4a-b)][(a+3b)^2-(a+3b)(4a-b)+(4a-b)^2]\\)\r\n\\([5a+2b][a^2+6ab+9b^2-4a^2+ab-12ab+3b^2+16a^2-8ab+b^2]\\)\r\n\\([5a+2b][13a^2-13ab+13b^2]\\)\r\n\\(13[5a+2b][a^2-ab+b^2]\\)<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \"(x^2-4y^2)(x^2+4y^2)\"
      \n\"(x-2y)(x+2y)(x^2+4y^2)\"<\/li>\n
    2. \"(4x^2-9y^2)(4x^2+9y^2)\"
      \n\"(2x-3y)(2x+3y)(4x^2+9y^2)\"<\/li>\n
    3. \"(x^2-16y^2)(x^2+16y^2)\"
      \n\"(x-4y)(x+4y)(x^2+16y^2)\"<\/li>\n
    4. \"(25x^2-9y^2)(25x^2+9y^2)\"
      \n\"(5x-3y)(5x+3y)(25x^2+9y^2)\"<\/li>\n
    5. \"(9x^2-4y^2)(9x^2+4y^2)\"
      \n\"(3x+2y)(3x-2y)(9x^2+4y^2)\"<\/li>\n
    6. \"(x^2-9y^2)(x^2+9y^2)\"
      \n\"(x-3y)(x+3y)(x^2+9y^2)\"<\/li>\n
    7. \"(25x^2-16y^2)(25x^2+16y^2)\"
      \n\"(5x-4y)(5x+4y)(25x^2+16y^2)\"<\/li>\n
    8. \"(x^2-9y^2)(x^2+9y^2)\"
      \n\"(x-3y)(x+3y)(x^2+9y^2)\"<\/li>\n
    9. \"(x^3-y^3)(x^3+y^3)\"
      \n\"(x-y)(x^2+xy+y^2)(x+y)(x^2-xy+y^2)\"<\/li>\n
    10. \"(x^2)^3+(y^2)^3\"
      \n\"(x^2+y^2)(x^4-x^2y^2+y^4)\"<\/li>\n
    11. \"(x^3-8y^3)(x^3+8y^3)\"
      \n\"(x-2y)(x^2+2xy+4y^2)(x+2y)(x^2-2xy+4y^2)\"<\/li>\n
    12. \"(4x^2)^3+(y^2)^3\"
      \n\"(4x^2+y^2)(16x^4-4x^2y^2+y^4)\"<\/li>\n
    13. \"(27x^3-y^3)(27x^3+y^3)\"
      \n\"(3x-y)(9x^2+3xy+y^2)(3x+y)(9x^2-3xy+y^2)\"<\/li>\n
    14. \"(9x^2)^3+(y^2)^3\"
      \n\"(9x^2+y^2)(81x^4-9x^2y^2+y^4)\"<\/li>\n
    15. \"(9x^2)^3+(4y^2)^3\"
      \n\"(9x^2+4y^2)(81x^4-36x^2y^2+16y^4)\"<\/li>\n
    16. \"(8x^3-125y^3)(8x^3+125y^3)\"
      \n\"(2x-5y)(4x^2+10xy+25y^2)(2x+5y)(4x^2-10xy+25y^2)\"<\/li>\n
    17. \"[(a+b)-(c-d)][(a+b)+(c-d)]\"
      \n\"[a+b-c+d][a+b+c-d]\"<\/li>\n
    18. \"[(a+2b)-(3a-4b)][(a+2b)+(3a-4b)]\"
      \n\"[a+2b-3a+4b][a+2b+3a-4b]\"
      \n\"[-2a+6b][4a-2b]\"
      \n\"4[-a+3b][2a-b]\"<\/li>\n
    19. \"[(a+3b)-(2c-d)][(a+3b)+(2c-d)]\"
      \n\"[a+3b-2c+d][a+3b+2c-d]\"<\/li>\n
    20. \"[(3a+b)-(a-b)][(3a+b)+(a-b)]\"
      \n\"[2a+2b][4a]\"
      \n\"2[a+b][4a]\"
      \n\"8a(a+b)\"<\/li>\n
    21. \"[(a+b)-(c-d)][(a+b)^2+(a+b)(c-d)+(c-d)^2]\"
      \n\"[a+b-c+d][a^2+2ab+b^2+ac-ad+bc-bd+c^2-2cd+d^2]\"<\/li>\n
    22. \"[(a+3b)+(4a-b)][(a+3b)^2-(a+3b)(4a-b)+(4a-b)^2]\"
      \n\"[5a+2b][a^2+6ab+9b^2-4a^2+ab-12ab+3b^2+16a^2-8ab+b^2]\"
      \n\"[5a+2b][13a^2-13ab+13b^2]\"
      \n\"13[5a+2b][a^2-ab+b^2]\"<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":58,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1587","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1587","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\/1587\/revisions"}],"predecessor-version":[{"id":3789,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1587\/revisions\/3789"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1587\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1587"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1587"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1587"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1587"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}