document.write( "Question 607215: \"Write the rational expression in lowest terms.\" y^3+64/y^3-4y^2+16y \n" ); document.write( "

Algebra.Com's Answer #382525 by Earlsdon(6294) $\"\"$ $\"About$

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$\"%28y%5E3%2B64%29%2F%28y%5E3-4y%2B16%29\"$ Factor the numerator (the sum of two cubes: $\"%28y%29%5E3%2B%284%29%5E3\"$ ).
\n" ); document.write( " $\"%28y%2B4%29%28y%5E2-4y%2B16%29%2F%28y%5E3-4y%5E2%2B16y%29\"$ Factor the denominator.
\n" ); document.write( " $\"%28y%2B4%29cross%28%28y%5E2-4y%2B16%29%29%2F%28y%2Across%28%28y%5E2-4y%2B16%29%29%29\"$ Cancel the common factors as indicated to get:
\n" ); document.write( " $\"%28y%2B4%29%2Fy\"$ \n" ); document.write( "

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