document.write( "Question 380408: factor: 2x^3+16 \n" ); document.write( "

Algebra.Com's Answer #269968 by Earlsdon(6294) $\"\"$ $\"About$

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Factor:
\n" ); document.write( " $\"2x%5E3%2B16\"$ First, factor a 2.
\n" ); document.write( " $\"2%28x%5E3%2B8%29\"$ Now notice that you have the sum of two cubes in the parentheses.
\n" ); document.write( " $\"2%28%28x%29%5E3%2B%282%29%5E3%29\"$
\n" ); document.write( "The sum of two cubes can be factored thus:
\n" ); document.write( " $\"A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29\"$ so in this problem, A = x and B = 2.
\n" ); document.write( " $\"highlight%282%28%28x%29%5E3%2B%282%29%5E3%29+=+2%28X%2B2%29%28x%5E2-2x%2B4%29%29\"$ \n" ); document.write( "

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