Question

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

Answer 1

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

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

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

= $\frac{2}{a-b}$