document.write( "Question 131917: Simplify $\"%289t%5E2%2B9t%29%2F%2845t%5E2%2B81t%29\"$ \n" ); document.write( "

Algebra.Com's Answer #96311 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"%289t%5E2%2B9t%29%2F%2845t%5E2%2B81t%29\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"%289t%28t%2B1%29%29%2F%2845t%5E2%2B81t%29\"$ Factor $\"9t%5E2%2B9t\"$ to get $\"9t%28t%2B1%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%289t%28t%2B1%29%29%2F%289t%285t%2B9%29%29\"$ Factor $\"45t%5E2%2B81t\"$ to get $\"9t%285t%2B9%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%28cross%289t%29%28t%2B1%29%29%2F%28cross%289t%29%285t%2B9%29%29\"$ Cancel like terms\r
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\n" ); document.write( "\n" ); document.write( " $\"%28t%2B1%29%2F%285t%2B9%29\"$ Simplify\r
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\n" ); document.write( "\n" ); document.write( "So $\"%289t%5E2%2B9t%29%2F%2845t%5E2%2B81t%29\"$ simplifies to $\"%28t%2B1%29%2F%285t%2B9%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "In other words, $\"%289t%5E2%2B9t%29%2F%2845t%5E2%2B81t%29=%28t%2B1%29%2F%285t%2B9%29\"$ \n" ); document.write( "

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