document.write( "Question 409401: does (x^2-y^2)(x^2+y^2) express a completely factored form for x^4-y^4? \n" ); document.write( "

Algebra.Com's Answer #288182 by MathLover1(20855) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "does $\"%28x%5E2-y%5E2%29%28x%5E2%2By%5E2%29\"$ express a completely factored form for $\"x%5E4-y%5E4\"$ ?\r
\n" ); document.write( "\n" ); document.write( "answer: yes\r
\n" ); document.write( "\n" ); document.write( "here is why:\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E4-y%5E4\"$ ......using \"power of power\" rule, you can write this expression as:\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2%29%5E2+-%28y%5E2%29%5E2\"$ ........now you got the difference of squares and you use the \"difference of squares\" formula which gives you $\"%28x%5E2-y%5E2%29%28x%5E2%2By%5E2%29\"$ \n" ); document.write( "

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