document.write( "Question 190020: Simplify \r
\n" ); document.write( "\n" ); document.write( "x^2-x-6/x^2-2x-3=
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Algebra.Com's Answer #142689 by orca(409)\"\" \"About 
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We are required to simplify the fraction:
\n" ); document.write( "\"%28x%5E2-x-6%29%2F%28x%5E2-2x-3%29\"\r
\n" ); document.write( "\n" ); document.write( "First we need to factor \"x%5E2-x-6\" and \"x%5E2-2x-3\".
\n" ); document.write( "\"x%5E2-x-6\"
\n" ); document.write( "=\"%28x-3%29%28x%2B2%29\"
\n" ); document.write( "\"x%5E2-2x-3\"
\n" ); document.write( "=\"%28x-3%29%28x%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "So
\n" ); document.write( "\"%28x%5E2-x-6%29%2F%28x%5E2-2x-3%29\"
\n" ); document.write( "=\"%28%28x-3%29%28x%2B2%29%2F%28x-3%29%28x%2B1%29%29\"
\n" ); document.write( "Canceling the common factor \"%28x-3%29\" of the numerator and denominator, we have\r
\n" ); document.write( "\n" ); document.write( "= \"%28x%2B2%29%2F%28x%2B1%29\"\r
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