document.write( "Question 236422: Thank you for your help\r
\n" ); document.write( "\n" ); document.write( "I am asked to divide\r
\n" ); document.write( "\n" ); document.write( "(x-9)(x+8) (x+9)(x-3)
\n" ); document.write( "___________ divided by ____________
\n" ); document.write( "(x-6)(x+5) (x-6)(x+3)\r
\n" ); document.write( "\n" ); document.write( "I did the factoring from
\n" ); document.write( " $\"x%5E2-x-72\"$ $\"x%5E2%2B6x-27\"$
\n" ); document.write( "___________ / ____________
\n" ); document.write( " $\"x%5E2-x-30\"$ $\"x%5E2-9x%2B18\"$ \n" ); document.write( "

Algebra.Com's Answer #174047 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"%28%28x%5E2-x-72%29%2F%28x%5E2-x-30%29%29%2F%28%28x%5E2%2B6x-27%29%2F%28x%5E2-9x%2B18%29%29\"$ Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28x%5E2-x-72%29%2F%28x%5E2-x-30%29%29%28%28x%5E2-9x%2B18%29%2F%28x%5E2%2B6x-27%29%29\"$ Multiply the first fraction $\"%28x%5E2-x-72%29%2F%28x%5E2-x-30%29\"$ by the reciprocal of the second fraction $\"%28x%5E2%2B6x-27%29%2F%28x%5E2-9x%2B18%29\"$ .\r
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Factor $\"x%5E2-x-72\"$ to get $\"%28x%2B8%29%2A%28x-9%29\"$ .\r
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Factor $\"x%5E2-x-30\"$ to get $\"%28x%2B5%29%2A%28x-6%29\"$ .\r
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Factor $\"x%5E2-9x%2B18\"$ to get $\"%28x-3%29%2A%28x-6%29\"$ .\r
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Factor $\"x%5E2%2B6x-27\"$ to get $\"%28x%2B9%29%2A%28x-3%29\"$ .\r
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Combine the fractions. \r
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Highlight the common terms. \r
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Cancel out the common terms. \r
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\n" ); document.write( "\n" ); document.write( " $\"%28%28x%2B8%29%28x-9%29%29%2F%28%28x%2B5%29%28x%2B9%29%29\"$ Simplify. \r
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\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2-x-72%29%2F%28x%5E2%2B14x%2B45%29\"$ FOIL\r
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\n" ); document.write( "\n" ); document.write( "So $\"%28%28x%5E2-x-72%29%2F%28x%5E2-x-30%29%29%2F%28%28x%5E2%2B6x-27%29%2F%28x%5E2-9x%2B18%29%29\"$ simplifies to $\"%28x%5E2-x-72%29%2F%28x%5E2%2B14x%2B45%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "In other words,

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