document.write( "Question 27739: Factor:\r
\n" ); document.write( "\n" ); document.write( "How do I do this ?\r
\n" ); document.write( "\n" ); document.write( "Factor 2x^3y^2-32xy^2\r
\n" ); document.write( "\n" ); document.write( "Thanks for your help and time, it's greatly appreciated ! \n" ); document.write( "

Algebra.Com's Answer #15111 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Factor:
\n" ); document.write( " $\"2x%5E3y%5E2-32xy%5E2\"$
\n" ); document.write( "First, look for common factors in the two terms and factor them out.
\n" ); document.write( "2 is a common factor.
\n" ); document.write( "x is a common factor,
\n" ); document.write( "y^2 is a common factor.\r
\n" ); document.write( "\n" ); document.write( " $\"2xy%5E2%28x%5E2-16%29\"$ The parentheses now contain a binomial which, as you can see, is the difference of two squares (x-squared and 4-squared) and this binomial can be factored:
\n" ); document.write( " $\"x%5E2-16+=+%28x-4%29%28x%2B4%29\"$ The final result is:
\n" ); document.write( " $\"2x%5E3y%5E2-32xy%5E2+=+2xy%5E2%28x-4%29%28x%2B4%29\"$ \n" ); document.write( "

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