Answer:
see explanation
Step-by-step explanation:
Given
[tex]\frac{1}{a-b}[/tex] - [tex]\frac{1}{b-a}[/tex]
Before subtracting the fractions, we require them to have common denominator.
Multiply the numerator/denominator of the second fraction by - 1
[tex]\frac{1}{b-a}[/tex] × [tex]\frac{-1}{-1}[/tex] = [tex]\frac{-1}{a-b}[/tex]
We now have
[tex]\frac{1}{a-b}[/tex] - [tex]\frac{-1}{a-b}[/tex] ← common denominators
= [tex]\frac{1}{a-b}[/tex] + [tex]\frac{1}{a-b}[/tex]
= [tex]\frac{1+1}{a-b}[/tex]
= [tex]\frac{2}{a-b}[/tex]
