document.write( "Question 97039: How do you factor x^3+8? \n" ); document.write( "

Algebra.Com's Answer #70625 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Factor:
\n" ); document.write( " $\"x%5E3%2B8\"$ Do you recognise this as the sum of two cubes?
\n" ); document.write( " $\"x%5E3%2B8+=+%28x%29%5E3%2B%282%29%5E3\"$ ...but of course!
\n" ); document.write( "The sum of two cubes can be factored thus:
\n" ); document.write( " $\"A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29\"$
\n" ); document.write( "In your problem, A = x and B = 2, so...
\n" ); document.write( " $\"x%5E3%2B8+=+%28x%2B2%29%28x%5E2-2x%2B4%29\"$ and we're done!
\n" ); document.write( "Let's check the solution by multiplying the two factors, using FOIL.
\n" ); document.write( " $\"%28x%2B2%29%28x%5E2-2x%2B4%29+=+x%5E3-2x%5E2%2B4x%2B2x%5E2-4x%2B8\"$ Simplify by combining like-terms.
\n" ); document.write( " $\"x%5E3%2B8+=+x%5E3%2B8\"$ \n" ); document.write( "

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