Simplify \(\frac{2}{2 + x} + \frac{2}{2 - x}\)
A
\(\frac{4}{4 - x^3}\)
B
\(\frac{8}{4 - x^2}\)
C
\(\frac{4x}{4 - x^2}\)
D
\(\frac{8 - 4x}{4 - x^2}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{2}{2 + x} + \frac{2}{2 - x}\)
\(\frac{2(2 - x) + 2(2 + x)}{(2 + x)(2 - x)} = \frac{4 - 2x + 4 + 2x}{4 - 2x + 2x - x^2}\)
= \(\frac{8}{4 - x62}\)
Source: Myschool Past Questions Archive (Record #36553)