document.write( "Question 167741: 3x2-4x-15/x2-4x+3 \n" ); document.write( "

Algebra.Com's Answer #123650 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"%283x%5E2-4x-15%29%2F%28x%5E2-4x%2B3%29\"$ Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%283x%2B5%29%28x-3%29%29%2F%28x%5E2-4x%2B3%29\"$ Factor $\"3x%5E2-4x-15\"$ to get $\"%283x%2B5%29%28x-3%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%283x%2B5%29%28x-3%29%29%2F%28%28x-1%29%28x-3%29%29\"$ Factor $\"x%5E2-4x%2B3\"$ to get $\"%28x-1%29%28x-3%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%283x%2B5%29highlight%28%28x-3%29%29%29%2F%28%28x-1%29highlight%28%28x-3%29%29%29\"$ Highlight the common terms. \r
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\n" ); document.write( "\n" ); document.write( " $\"%28%283x%2B5%29cross%28%28x-3%29%29%29%2F%28%28x-1%29cross%28%28x-3%29%29%29\"$ Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( " $\"%283x%2B5%29%2F%28x-1%29\"$ Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So $\"%283x%5E2-4x-15%29%2F%28x%5E2-4x%2B3%29\"$ simplifies to $\"%283x%2B5%29%2F%28x-1%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "In other words, $\"%283x%5E2-4x-15%29%2F%28x%5E2-4x%2B3%29=%283x%2B5%29%2F%28x-1%29\"$ where $\"x%3C%3E1\"$ or $\"x%3C%3E3\"$
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