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Popular >

simplify (1/x-1/a)/(x-a)

Solution

simplify

\frac{\frac{1}{x} - \frac{1}{a}}{x - a}

Solution

- \frac{1}{a x}

Solution steps

\frac{\frac{1}{x} - \frac{1}{a}}{x - a}

Join

\frac{1}{x} - \frac{1}{a} : \frac{a - x}{a x}

= \frac{\frac{a - x}{a x}}{x - a}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{a - x}{a x ( x - a )}

Cancel

\frac{a - x}{a x ( x - a )} : - \frac{1}{a x}

= - \frac{1}{a x}

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Frequently Asked Questions (FAQ)

What is (1/x-1/a)/(x-a) ?
The solution to (1/x-1/a)/(x-a) is -1/(ax)