document.write( "Question 84164: Factor 27r2-12s2 \n" ); document.write( "

Algebra.Com's Answer #60597 by Earlsdon(6294) $\"\"$ $\"About$

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Factor:
\n" ); document.write( " $\"27r%5E2-12s%5E2\"$ First, factor out a 3.
\n" ); document.write( " $\"3%289r%5E2-4s%5E2%29\"$ Now, do you see that the parentheses contain the difference of two squares?
\n" ); document.write( "The difference of two squares can be factored thusly: $\"A%5E2-B%5E2+=+%28A-B%29%28A%2BB%29\"$
\n" ); document.write( "Applying this to your problem:
\n" ); document.write( " $\"3%289r%5E2-4s%5E2%29+=+3%283r-2s%29%283r%2B2s%29\"$ So...
\n" ); document.write( " $\"27r%5E2-12s%5E2+=+3%283r-2s%29%283r%2B2s%29\"$
\n" ); document.write( "Do you see how it works? \n" ); document.write( "

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