document.write( "Question 158890: Before I go completely insane, would somebody help me with this expression?\r
\n" ); document.write( "\n" ); document.write( "x^2 - 12x + 32/x^2 - 6x -16 divided by x^2-x-12/x^2-5x-24\r
\n" ); document.write( "\n" ); document.write( "thank you. Please help. \n" ); document.write( "

Algebra.Com's Answer #117036 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Assume the problem is:
\n" ); document.write( " $\"%28%28x%5E2+-+12x+%2B+32%29%29%2F%28%28x%5E2+-+6x+-16%29%29\"$
\n" ); document.write( "--------------
\n" ); document.write( " $\"%28%28x%5E2-x-12%29%29%2F%28%28x%5E2-5x-24%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "First remember your grade school rules on fractions:
\n" ); document.write( "\"Invert the dividing fraction and multiply\", so we have:
\n" ); document.write( " $\"%28%28x%5E2+-+12x+%2B+32%29%29%2F%28%28x%5E2+-+6x+-16%29%29\"$ * $\"%28%28x%5E2-5x-24%29%29%2F%28%28x%5E2-x-12%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "Factor as much as we can and see what we have:
\n" ); document.write( " $\"%28%28x-8%29%28x-4%29%29%2F%28%28x-8%29%28x%2B2%29%29\"$ * $\"%28%28x-8%29%28x%2B3%29%29%2F%28%28x-4%29%28x%2B3%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "Two of the (x-8)'s will cancel, (x-4)'s will cancel, we then have
\n" ); document.write( " $\"1%2F%28%28x%2B2%29%29\"$ * $\"%28%28x-8%29%28x%2B3%29%29%2F%28%28x%2B3%29%29\"$
\n" ); document.write( ";
\n" ); document.write( "Do the same with (x+3)'s
\n" ); document.write( " $\"1%2F%28%28x%2B2%29%29\"$ * (x-8) = $\"%28%28x-8%29%29%2F%28%28x%2B2%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "did this makes sense to you? has your sanity been preserved? Hope so! \n" ); document.write( "

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