document.write( "Question 145770: x^2+x-12/9-x^2 \n" ); document.write( "

Algebra.Com's Answer #106381 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2%2Bx-12%29%2F%289-x%5E2%29\"$ Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28x%2B4%29%2A%28x-3%29%29%2F%289-x%5E2%29\"$ Factor $\"x%5E2%2Bx-12\"$ to get $\"%28x%2B4%29%2A%28x-3%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28x%2B4%29%2A%28x-3%29%29%2F%28-%28x-3%29%2A%28x%2B3%29%29\"$ Factor $\"9-x%5E2\"$ to get $\"-%28x-3%29%2A%28x%2B3%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"-%28%28x%2B4%29highlight%28x-3%29%29%2F%28highlight%28x-3%29%28x%2B3%29%29\"$ Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( " $\"-%28%28x%2B4%29cross%28x-3%29%29%2F%28cross%28x-3%29%28x%2B3%29%29\"$ Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( " $\"-%28%28x%2B4%29%29%2F%28%28x%2B3%29%29\"$ Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So $\"%28x%5E2%2Bx-12%29%2F%289-x%5E2%29\"$ simplifies to $\"-%28%28x%2B4%29%29%2F%28%28x%2B3%29%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "In other words, $\"%28x%5E2%2Bx-12%29%2F%289-x%5E2%29=-%28%28x%2B4%29%29%2F%28%28x%2B3%29%29\"$ where $\"x%3C%3E-3\"$ or $\"x%3C%3E3\"$
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