Question 23

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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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