document.write( "Question 534928: please help! i am trying to factor 125x^(6) + 1. i have tried (5x^3)^3 + 1 but cannot get any further.
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Algebra.Com's Answer #351722 by fcabanski(1391) $\"\"$ $\"About$

You can put this solution on YOUR website!
(5x^3)^3 = 125x^9. Your first step was incorrect.

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\n" ); document.write( "\n" ); document.write( "125x^6 + 1 ---> (5x^2)^3 + 1

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\n" ); document.write( "\n" ); document.write( "Set u=5x^2 so the equation becomes u^3+1.\r
\n" ); document.write( "\n" ); document.write( "The factor theorem states if f(a)=0 then x-a is a factor.

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\n" ); document.write( "\n" ); document.write( "f(-1) = 0 --->-1^3+1=0. So u-1 is a factor.

\n" ); document.write( "(u-1)(u^2-u+1). (Substitute 5x^2 back in for u).

\n" ); document.write( "(5x^2-1)(25x^4-5x^2+1).
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