Question

Solve :1/1-x^a-b +1/1-x^b-a​

Answer 1

Explanation:

`(1)/(1-x^(a-b))+(1)/(1-x^(b-a))\\\\(1)/(1-x^(b-a))=(1)/(1-x^(-(a-b)))=(1)/(1-(1)/(x^(a-b)))\\=(1)/((x^(a-b)-1)/(x^(a-b)))=(x^(a-b))/(x^(a-b)-1)\\\\=(x^(a-b))/(-(1-x^(a-b)))=-(x^(a-b))/(1-x^(a-b))\\\\(1)/(1-x^(a-b))+(1)/(1-x^(b-a))=(1)/(1-x^(a-b))-(x^(a-b))/(1-x^(a-b))\\\\=(1-x^(a-b))/(1-x^(a-b))=1`