document.write( "Question 169906This question is from textbook Algebra and Trigonometry
\n" ); document.write( ": I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!\r
\n" ); document.write( "\n" ); document.write( "Rational Algebraic Expression
\n" ); document.write( "Simplify
\n" ); document.write( "x^4-2x^2y^2+y^4 over x^4-x^3y-xy^3+y^4 \n" ); document.write( "

Algebra.Com's Answer #125331 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28x%5E4-2x%5E2y%5E2%2By%5E4%29%2F%28x%5E4-x%5E3y-xy%5E3%2By%5E4%29\"$
\n" ); document.write( "Group terms in the denominator:
\n" ); document.write( " $\"%28x%5E4-2x%5E2y%5E2%2By%5E4%29%2F%28%28x%5E4-x%5E3y%29-%28xy%5E3-y%5E4%29%29\"$
\n" ); document.write( " $\"%28x%5E4-2x%5E2y%5E2%2By%5E4%29%2F%28x%5E3%28x-y%29-y%5E3%28x-y%29%29\"$
\n" ); document.write( " $\"%28x%5E4-2x%5E2y%5E2%2By%5E4%29%2F%28x-y%29%28x%5E3-y%5E3%29\"$
\n" ); document.write( "Factoring the numerator:
\n" ); document.write( " $\"%28x%5E2-y%5E2%29%28x%5E2-y%5E2%29%2F%28x-y%29%28x%5E3-y%5E3%29\"$
\n" ); document.write( " $\"%28x-y%29%28x%2By%29%28x%5E2-y%5E2%29%2F%28x-y%29%28x%5E3-y%5E3%29\"$
\n" ); document.write( " $\"%28x%2By%29%28x%5E2-y%5E2%29%2F%28x%5E3-y%5E3%29\"$
\n" ); document.write( "Applying factor for \"difference of cubes\" in the denominator:
\n" ); document.write( " $\"%28x%2By%29%28x%5E2-y%5E2%29%2F%28x-y%29%28x%5E2-xy%2By%5E2%29\"$
\n" ); document.write( " $\"%28x%2By%29%28x-y%29%28x%2By%29%2F%28x-y%29%28x%5E2-xy%2By%5E2%29\"$
\n" ); document.write( " $\"%28x%2By%29%28x%2By%29%2F%28x%5E2-xy%2By%5E2%29\"$
\n" ); document.write( " $\"%28x%2By%29%5E2%2F%28x%5E2-xy%2By%5E2%29\"$
\n" ); document.write( " \n" ); document.write( "

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