document.write( "Question 187470: I need help factoring the following problem. \r
\n" ); document.write( "\n" ); document.write( "3x^3 + 3x^2 - 12x - 12\r
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "

Algebra.Com's Answer #140524 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Try factoring by grouping.
\n" ); document.write( " $\"3x%5E3%2B3x%5E2-12x-12\"$ Group the terms as shown below:
\n" ); document.write( " $\"%283x%5E3%2B3x%5E2%29-%2812x%2B12%29\"$ Notice the change of sign on the last term! Now factor $\"3x%5E2\"$ from the first group and factor $\"12\"$ from the second group to get:
\n" ); document.write( " $\"3x%5E2%28x%2B1%29-12%28x%2B1%29\"$ Notice the common factor of $\"%28x%2B1%29\"$ in each term, so factor this.
\n" ); document.write( " $\"%28x%2B1%29%283x%5E2-12%29\"$ The second group here will factor, so...
\n" ); document.write( " $\"highlight%28%28x%2B1%29%283x%2B6%29%28x-2%29%29\"$ ...and we're done! \n" ); document.write( "

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