The answer to the above eqaution is 1
Step-by-step explanation:
Proceeding step by step
Step 1= 1/(1-xᵃ⁻ᵇ)+ 1/(1-xᵇ⁻ᵃ)
on rearranging the equation (b-a) as -(a-b) and substituting the value
Step 2= 1/(1-x ᵃ⁻ᵇ) + 1/(1-x -⁽ᵃ⁻ᵇ⁾ )
Using the indices corrolary that 1/1- x ⁻ᵃ= -xᵃ/ (1- x ᵃ) and subsituting the value of the expression in the step mentioned below
Step 3=1/(1+x ᵃ⁻ᵇ) - (x ᵃ⁻ᵇ)/(1-x ᵃ⁻ᵇ)
Since the denominators are the same the two fractions can be added with common denominator being 1+x ᵃ⁻ᵇ
On adding the above mentioned step 3 we get
Step 4=(1- x ᵃ⁻ᵇ) / (1- x ᵃ⁻ᵇ)
=1
Thus the value of equation =1
