Simplify.
-$\frac{\frac{1}{x^{2}}-\frac{4}{y^{2}}}{4 y-8 x}$
A) $4 x-8 y^{2}$
B) $\frac{y+2 x}{4 x^{2} y^{2}}$
C) $\frac{y^{2}+2 x}{4 x^{2}}$
D) $\frac{x+2 y}{4 x^{2} y}$

Question

Quizplus · Accepted Answer

The expression simplifies by first finding a common denominator for the numerator, which is $x^2y^2$, leading to $\frac{y^2-4x^2}{x^2y^2}$. The denominator $4y-8x$ can be factored to $4(y-2x)$. Dividing the numerator by the denominator and simplifying gives $\frac{y^2-4x^2}{4x^2y^2(y-2x)}$, which simplifies further to $\frac{y+2x}{4x^2y^2}$, matching choice B.

Simplify - 1x2−4y24y−8x\frac{\frac{1}{x^{2}}-\frac{4}{y^{2}}}{4 y-8 x}4y−8xx21​−y24​​ A) 4x−8y24 x-8 y^{2}4x−8y2 B) y+2x4x2y2\frac{y+2 x}{4 x^{2} y^{2}}4x2y2y+2x​

Simplify
- $\frac{\frac{1}{x^{2}}-\frac{4}{y^{2}}}{4 y-8 x}$ A) $4 x-8 y^{2}$ B) $\frac{y+2 x}{4 x^{2} y^{2}}$