waecmaths question:
Simplify $\frac{2}{2+x}+\frac{2}{2-x}$
Option A:
$\frac{4}{4-{{x}^{2}}}$
Option B:
$\frac{8}{4-{{x}^{2}}}$
Option C:
$\frac{4x}{4-{{x}^{2}}}$
Option D:
$\frac{8-4x}{4-{{x}^{2}}}$
waecmaths solution:
$\begin{align} & \frac{2}{2+x}+\frac{2}{2-x}=\frac{2(2-x)+2(2+x)}{(2+x)(2-x)} \\ & \frac{2}{2+x}+\frac{2}{2-x}=\frac{4-2x+4+2x}{4-{{x}^{2}}} \\ & \frac{2}{2+x}+\frac{2}{2-x}=\frac{8}{4-{{x}^{2}}} \end{align}$
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