Simplify the expression, using only positive exponents in your answer.
-$\frac{x^{-2}-64 y^{-2}}{5 y-40 x}$

A) $\frac{y^{2}+8 x}{5 x^{2}}$

B) $5 x-40 y^{2}$

C) $\frac{x+8 y}{5 x^{2} y}$

D) $\frac{y+8 x}{5 x^{2} y^{2}}$

Question

Simplify the expression, using only positive exponents in your answer.
-$\frac{x^{-2}-64 y^{-2}}{5 y-40 x}$

A) $\frac{y^{2}+8 x}{5 x^{2}}$

B) $5 x-40 y^{2}$

C) $\frac{x+8 y}{5 x^{2} y}$

D) $\frac{y+8 x}{5 x^{2} y^{2}}$

Quizplus · Accepted Answer

The expression can be rewritten as $\frac{1/x^2 - 64/y^2}{5y - 40x}$. Factoring the numerator gives $\frac{(y^2 - 64x^2)/(x^2y^2)}{5y - 40x}$. The numerator can be factored as $(y - 8x)(y + 8x)$, and the denominator can be factored as $5(y - 8x)$. Canceling the common factor $(y - 8x)$ gives $\frac{y + 8x}{5x^2y^2}$.

Simplify the Expression, Using Only Positive Exponents in Your Answer x−2−64y−25y−40x\frac{x^{-2}-64 y^{-2}}{5 y-40 x}5y−40xx−2−64y−2​

Simplify the Expression, Using Only Positive Exponents in Your Answer $\frac{x^{-2}-64 y^{-2}}{5 y-40 x}$