Perform the indicated operations. Simplify as much as possible. $\frac{20^{2}-4^{2}}{20^{2}+4^{2}}$
A) $\frac{13}{15}$
B) 1
C) $\frac{12}{13}$
D) $-1$
E) $-\frac{12}{13}$

Question

Quizplus · Accepted Answer

The expression simplifies using the difference of squares formula for the numerator and direct calculation for the denominator. The numerator becomes $20^2 - 4^2 = 400 - 16 = 384$, and the denominator becomes $20^2 + 4^2 = 400 + 16 = 416$. Thus, the fraction simplifies to $\frac{384}{416}$, which further simplifies to $\frac{12}{13}$ after dividing both the numerator and the denominator by 32.

Perform the Indicated Operations 202−42202+42\frac{20^{2}-4^{2}}{20^{2}+4^{2}}202+42202−42​ A) 1315\frac{13}{15}1513​ B) 1 C) 1213\frac{12}{13}1312​ D) −1-1−1 E) −1213-\frac{12}{13}−1312​

Perform the Indicated Operations $\frac{20^{2}-4^{2}}{20^{2}+4^{2}}$ A) $\frac{13}{15}$ B) 1
C) $\frac{12}{13}$ D) $-1$ E) $-\frac{12}{13}$