document.write( "Question 131918: Simplify $\"%28r%5E2-81%29%2F%28r%2B9%29%5E2\"$ \n" ); document.write( "

Algebra.Com's Answer #96312 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"%28r%5E2-81%29%2F%28r%2B9%29%5E2\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"%28r%5E2-81%29%2F%28%28r%2B9%29%28r%2B9%29%29\"$ Expand $\"%28r%2B9%29%5E2\"$ to get $\"%28r%2B9%29%28r%2B9%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28r%2B9%29%28r-9%29%29%2F%28%28r%2B9%29%28r%2B9%29%29\"$ Factor $\"r%5E2-81\"$ to get $\"%28r%2B9%29%28r-9%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%28cross%28%28r%2B9%29%29%28r-9%29%29%2F%28cross%28%28r%2B9%29%29%28r%2B9%29%29\"$ Cancel like terms\r
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\n" ); document.write( "\n" ); document.write( " $\"%28r-9%29%2F%28r%2B9%29\"$ Simplify\r
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\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So $\"%28r%5E2-81%29%2F%28r%2B9%29%5E2\"$ simplifies to $\"%28r-9%29%2F%28r%2B9%29\"$ \r
\n" ); document.write( "\n" ); document.write( "In other words, $\"%28r%5E2-81%29%2F%28r%2B9%29%5E2=%28r-9%29%2F%28r%2B9%29\"$ \n" ); document.write( "

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