Question

Simplify:
1/1-x^(b-a)+1/1-x^(a-b)​

Answer 1

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Answer 2

1

Explanation:

simplify:

1/1-x^(b-a)+1/1-x^(a-b)​

`(1)/(1-x^(b-a)) + (1)/(1-x^(a-b))\\= (1-x^(a-b) + 1-x^(b-a))/((1-x^(b-a))(1-x^(a-b)))\\= (1-x^(a-b) + 1-x^(b-a))/((1-x^(b-a)-x^(a-b)+x^(b-a+a-b)))\\= (1-x^(a-b) + 1-x^(b-a))/((1-x^(b-a)-x^(a-b)+1))\\= (2-x^(a-b)-x^(b-a))/(2-x^(b-a)-x^(a-b))\\= 1\\ \\`

Hence the required answer is 1