document.write( "Question 260767: Please Factor the Polynomial Completely: (Is that different from factor the polynomial?)\r
\n" ); document.write( "\n" ); document.write( "p^6-64a^6 \n" ); document.write( "

Algebra.Com's Answer #192105 by drk(1908) $\"\"$ $\"About$

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\n" ); document.write( " $\"%28p%5E3%29%5E2+-+%288a%5E3%29%5E2\"$
\n" ); document.write( "this is a difference of two squares, so we factor as
\n" ); document.write( " $\"%28p%5E3%2B8a%5E3%29%28p%5E3-8a%5E3%29\"$
\n" ); document.write( "now we can factor each parenthesis as sum and difference of cubes as
\n" ); document.write( "(p^3 + 8a^3) = (p+2a)(p^2-2ap+4a^2)
\n" ); document.write( "and
\n" ); document.write( "(p^3 - 8a^3) = (p-2a)(p^2+2ap+4a^2)
\n" ); document.write( "so our final answer is
\n" ); document.write( " $\"%28p%2B2a%29%28p%5E2-2ap%2B4a%5E2%29%2A%28p-2a%29%28p%5E2%2B2ap%2B4a%5E2%29\"$ \n" ); document.write( "

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