waecmaths question:
Simplify $\frac{2}{1-x}-\frac{1}{x}$
Option A:
$\frac{x+1}{x(1-x)}$
Option B:
$\frac{3x-1}{x(1-x)}$
Option C:
$\frac{3x+1}{x(1-x)}$
Option D:
$\frac{x-1}{x(1-x)}$
waecmaths solution:
$\begin{align} & \frac{2}{1-x}-\frac{1}{x}=\frac{2x-(1-x)}{x(1-x)} \\ & \frac{2}{1-x}-\frac{1}{x}=\frac{2x-1+x}{x(1-x)} \\ & \frac{2}{1-x}-\frac{1}{x}=\frac{3x-1}{x(1-x)} \\\end{align}$
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