document.write( "Question 39793: factor x2+4xy+4y2-16\r
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Algebra.Com's Answer #25227 by AnlytcPhil(1806) $\"\"$ $\"About$

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Factor            x² + 4xy + 4y² - 16\r
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document.write( "We have to recognize that the first three terms
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document.write( "will factor as a perfect square:\r
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document.write( "                  x² + 4xy + 4y² - 16\r
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document.write( "                (x + 2y)(x + 2y) - 16\r
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document.write( "                       (x + 2y)² - 16\r
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document.write( "Now this factors again as the difference of two squares\r
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document.write( "                       (x + 2y)² - 4²\r
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document.write( "               [(x + 2y) - 4][(x + 2y) + 4]\r
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document.write( "                 [x + 2y - 4][x + 2y + 4]\r
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document.write( "                 (x + 2y - 4)(x + 2y + 4)\r
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document.write( "factor         12(x + 1)² - 17(x + 1) + 6 \r
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document.write( "Replace (x + 1) by a single letter, say W, then
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document.write( "W = (x + 1)\r
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document.write( "                   12W² - 17W + 6\r
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document.write( "                  (3W - 2)(4W - 3)\r
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document.write( "Change the parentheses to brackets, then replace the
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document.write( "W's with (x + 1)\r
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document.write( "              [3(x + 1) - 2][4(x + 1) - 3]\r
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document.write( "                [3x + 3 - 2]{4x + 4 - 3]\r
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document.write( "                    (3x + 1)(4x + 1)   \r
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document.write( "Edwin
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document.write( "AnlytcPhil@aol.com  \n" );
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