document.write( "Question 205160: 9x+3/x^2-9 - 5/x-3 \n" ); document.write( "

Algebra.Com's Answer #154995 by Earlsdon(6294) $\"\"$ $\"About$

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Simplify:
\n" ); document.write( " $\"%28%289x%2B3%29%2F%28x%5E2-9%29%29-%285%2F%28x-3%29%29\"$ Factor the denominator of the first fraction.
\n" ); document.write( " $\"%28%289x%2B3%29%2F%28x%2B3%29%28x-3%29%29-%285%2F%28x-3%29%29\"$ Multiply the second fraction by $\"%28x%2B3%29%2F%28x%2B3%29\"$
\n" ); document.write( " $\"%28%289x%2B3%29%2F%28x%2B3%29%28x-3%29%29-%285%28x%2B3%29%2F%28x%2B3%29%28x-3%29%29\"$ Subtract the two fractions.
\n" ); document.write( " $\"%289x%2B3-5x-15%29%2F%28x%2B3%29%28x-3%29\"$ Simplify the numerator.
\n" ); document.write( " $\"%284x-12%29%2F%28x%2B3%29%28x-3%29\"$ Factor 4 from the numerator.
\n" ); document.write( " $\"4%2Across%28%28x-3%29%29%2F%28x%2B3%29cross%28%28x-3%29%29\"$ Cancel the common factors (x-3) as indicated, to leave you with:\r
\n" ); document.write( "\n" ); document.write( " $\"highlight%284%2F%28x%2B3%29%29\"$ \n" ); document.write( "

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