document.write( "Question 32802This question is from textbook Heath Algebra 1 An Integrated Approach
\n" ); document.write( ": ((x^2-6x+8)/(x^2-2x))/(3x-12)
\n" ); document.write( "How do you know when to simplify and divide the polynomials, and when to do long division? And the, which do you do first, the sipmlifying or the dividing? Truthfully I think i need help with the over all Algebra subject, because i'm doing so well in that class.
\n" ); document.write( "Thank you,
\n" ); document.write( "J.A. \n" ); document.write( "

Algebra.Com's Answer #19227 by askmemath(368) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28%28x%5E2-6x%2B8%29%2F%28x%5E2-2x%29%29%2F%283x-12%29\"$ \r
\n" ); document.write( "\n" ); document.write( "First we begin by simplifying $\"x%5E2-6x%2B8\"$
\n" ); document.write( " $\"X%5E2+-4x-2x-8+=+%28X-4%29%28X-2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Then $\"X%5E2-+2X\"$ we take X common and we get X(X-2)\r
\n" ); document.write( "\n" ); document.write( "Similarly for 3X-12 we take 3 common and we get 3(X-4)\r
\n" ); document.write( "\n" ); document.write( "Now we know that $\"%28a%2Fb%29%2Fc+=+a%2Fbc\"$ \r
\n" ); document.write( "\n" ); document.write( "So you get
\n" ); document.write( " $\"%28%28X-4%29%28X-2%29%29%2FX%28X-2%293%28X-4%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Cancelling the common terms you get $\"1%2F3X\"$ as your final answer \n" ); document.write( "

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