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Grace [21]
4 years ago
11

I am supposed to simplify 1/a-b - 1/b-a

Mathematics
1 answer:
Andre45 [30]4 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Given

\frac{1}{a-b} - \frac{1}{b-a}

Before subtracting the fractions, we require them to have common denominator.

Multiply the numerator/denominator of the second fraction by - 1

\frac{1}{b-a} × \frac{-1}{-1} = \frac{-1}{a-b}

We now have

\frac{1}{a-b} - \frac{-1}{a-b} ← common denominators

= \frac{1}{a-b} + \frac{1}{a-b}

= \frac{1+1}{a-b}

= \frac{2}{a-b}

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