document.write( "Question 618634: x^4-625y^4 \n" ); document.write( "

Algebra.Com's Answer #389011 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'll assume you are asking the following expression factored:
\n" ); document.write( "x^4-625y^4
\n" ); document.write( "Can be written as a \"difference of squares\":
\n" ); document.write( "(x^2)^2 - (25y^2)^2
\n" ); document.write( "(x^2 - 25y^2)(x^2 + 25y^2)
\n" ); document.write( "The left expression can be also be written as a \"difference of squares\":
\n" ); document.write( "(x^2 - (5y)^2)(x^2 + 25y^2)
\n" ); document.write( "which expands to:
\n" ); document.write( "(x^2 - 5y)(x^2 + 5y)(x^2 + 25y^2)
\n" ); document.write( " \n" ); document.write( "

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