Question

1/(1+x^(a-b)) + 1/1+x^(b-a))

Answer 1

`\cfrac{1}{1+x^(a-b)}~~ + ~~\cfrac{1}{1+x^(b-a)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{1+x^(b-a)}\implies \cfrac{1}{1+x^(-(a-b))} \implies \cfrac{1}{1+(1)/(x^(a-b))}\implies \cfrac{1}{(1+x^(a-b))/(x^(a-b))}\implies \cfrac{x^(a-b)}{1+x^(a-b)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{1+x^(a-b)}~~ + ~~\cfrac{x^(a-b)}{1+x^(a-b)}\implies \cfrac{1+x^(a-b)}{1+x^(a-b)}\implies \text{\LARGE 1}`