document.write( "Question 36150: simplify:\r
\n" ); document.write( "\n" ); document.write( "x^2+x-12
\n" ); document.write( "----------------
\n" ); document.write( "2x^2-5x-3 \n" ); document.write( "

Algebra.Com's Answer #22203 by vidhyak(98) $\"\"$ $\"About$

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x^2+x-12
\n" ); document.write( "----------------
\n" ); document.write( "2x^2-5x-3\r
\n" ); document.write( "\n" ); document.write( "Let's simplify\r
\n" ); document.write( "\n" ); document.write( "x^2 + x - 12
\n" ); document.write( "x^2 + 4x - 3x - 12
\n" ); document.write( "x(x + 4) - 3(x + 4)
\n" ); document.write( "(x - 3)(x + 4)\r
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\n" ); document.write( "\n" ); document.write( "2x^2-5x-3
\n" ); document.write( "2x^2 - 6x + x - 3
\n" ); document.write( "2x(x - 3) + 1(x - 3)
\n" ); document.write( "(2x + 1)(x - 3)\r
\n" ); document.write( "\n" ); document.write( "Substituting the factors\r
\n" ); document.write( "\n" ); document.write( "(x - 3)(x + 4)
\n" ); document.write( "----------------
\n" ); document.write( "(2x + 1)(x - 3)\r
\n" ); document.write( "\n" ); document.write( "Removing the common term x-3 we get\r
\n" ); document.write( "\n" ); document.write( "(x + 4)
\n" ); document.write( "----------
\n" ); document.write( "(2x + 1)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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