document.write( "Question 38546This question is from textbook Algebra 2 with trig
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Multiply or Divide \r\n" );
document.write( "                  1-2/3z \r\n" );
document.write( "                  z-4/9z
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Algebra.Com's Answer #24054 by AnlytcPhil(1807)\"\" \"About 
You can put this solution on YOUR website!
Multiply or Divide\r\n" );
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document.write( "Multiply or Divide \r\n" );
document.write( "                  1-2/3z \r\n" );
document.write( "                  z-4/9z\r\n" );
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document.write( "You did not put parentheses around your denominators,\r\n" );
document.write( "so your expression as written means this\r\n" );
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document.write( "                          2\r\n" );
document.write( "                     1 - ——— z \r\n" );
document.write( "                          3\r\n" );
document.write( "                    ———————————\r\n" );
document.write( "                          4\r\n" );
document.write( "                     z - ——— z \r\n" );
document.write( "                          9\r\n" );
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document.write( "However I think you intended it to be this:\r\n" );
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document.write( "                           2\r\n" );
document.write( "                     1 - ———— \r\n" );
document.write( "                          3z\r\n" );
document.write( "                    ———————————\r\n" );
document.write( "                           4\r\n" );
document.write( "                     z - ———— \r\n" );
document.write( "                          9z\r\n" );
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document.write( "So I will assume this is what you meant.\r\n" );
document.write( "Put 1's under the 1 and z\r\n" );
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document.write( "                      1      2\r\n" );
document.write( "                     ——— - ———— \r\n" );
document.write( "                      1     3z\r\n" );
document.write( "                    —————————————\r\n" );
document.write( "                      z      4\r\n" );
document.write( "                     ——— - ———— \r\n" );
document.write( "                      1     9z\r\n" );
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document.write( "The four denominators are 1, 3z, 1 and 9z.\r\n" );
document.write( "Their LCD is 9z so multiply top and bottom \r\n" );
document.write( "by (9z)/(9z), putting 1's under the 9z's\r\n" );
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document.write( "               9z  æ 1      2 ö\r\n" );
document.write( "              ———— į——— - ————ũ \r\n" );
document.write( "                1  č 1     3z ø \r\n" );
document.write( "            —————— —————————————\r\n" );
document.write( "               9z  æ z      4 ö\r\n" );
document.write( "              ———— į——— - ————ũ \r\n" );
document.write( "                1  č 1     9z ø\r\n" );
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document.write( "Remove the parentheses by distributing:\r\n" );
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document.write( "              9z   1     9z    2 \r\n" );
document.write( "             ————Ũ——— - ————Ũ———— \r\n" );
document.write( "               1   1      1   3z \r\n" );
document.write( "            ———————————————————————\r\n" );
document.write( "              9z   z     9z    4 \r\n" );
document.write( "             ————Ũ——— - ————Ũ———— \r\n" );
document.write( "               1   1      1   9z \r\n" );
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document.write( "Cancel 3z into 9z on the top right, and\r\n" );
document.write( "cancel the 9z's on the bottom right\r\n" );
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document.write( "                          3\r\n" );
document.write( "              9z   1     9z    2 \r\n" );
document.write( "             ————Ũ——— - ————Ũ———— \r\n" );
document.write( "               1   1      1   13z \r\n" );
document.write( "            ———————————————————————\r\n" );
document.write( "              9z   z     19z    4 \r\n" );
document.write( "             ————Ũ——— - ————Ũ———— \r\n" );
document.write( "               1   1      1   19z \r\n" );
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document.write( "                   9z - 6\r\n" );
document.write( "                 —————————\r\n" );
document.write( "                  9zē - 4\r\n" );
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document.write( "Factor numerator and denominator:\r\n" );
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document.write( "                   3(3z - 2)\r\n" );
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document.write( "               (3z - 2)(3z + 2)\r\n" );
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document.write( "Cancel the (3z - 2)'s\r\n" );
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document.write( "                        1\r\n" );
document.write( "                   3(3z - 2)\r\n" );
document.write( "               ————————————————\r\n" );
document.write( "               (3z - 2)(3z + 2)\r\n" );
document.write( "                   1\r\n" );
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document.write( "                       3\r\n" );
document.write( "                   ————————\r\n" );
document.write( "                    3z + 2\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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