document.write( "Question 228552: Divide and Simplify
\n" ); document.write( "y^2-81 over 4y+36 divide by y-9 over 18 \n" ); document.write( "

Algebra.Com's Answer #169732 by JenniferTutors(83) $\"\"$ $\"About$

You can put this solution on YOUR website!
Ok for this problem,\r
\n" ); document.write( "\n" ); document.write( " $\"%28y%5E2-81%29%2F%284y%2B36%29\"$ / $\"%28y-9%29%2F%2818%29\"$ \r
\n" ); document.write( "\n" ); document.write( "You want to multiply the reciprocal of the second fraction to start solving:\r
\n" ); document.write( "\n" ); document.write( " $\"%28y%5E2-81%29%2F%284y%2B36%29\"$ x $\"%2818%29%2F%28y-9%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Now looking at the numerator of the first fraction, you can simplify by doing the foil method (backwards). Here's how that would look:\r
\n" ); document.write( "\n" ); document.write( " $\"%28y%2B9%29%28y-9%29%2F%284y%2B36%29\"$ x $\"%2818%29%2F%28y-9%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Next, for the denominator on the first fraction, you can simplify 4y+36, by dividing a four out of it, here's how it would look:\r
\n" ); document.write( "\n" ); document.write( " $\"%28y%2B9%29%28y-9%29%2F%284%29%28y%2B9%29\"$ x $\"%2818%29%2F%28y-9%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Now, you can cross out the like terms from both fractions:\r
\n" ); document.write( "\n" ); document.write( " $\"1%2Across%28%28y%2B9%29%29cross%28%28y-9%29%29%2F%284%29cross%28%28y%2B9%29%29\"$ x $\"%2818%29%2F1cross%28y-9%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Now, you're left with \r
\n" ); document.write( "\n" ); document.write( " $\"18%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( "To simplify: 2 goes into both numbers easily\r
\n" ); document.write( "\n" ); document.write( " $\"9%2F2\"$
\n" ); document.write( " \n" ); document.write( "

\n" );