Question

(1−xm−n)−1+(1−xn−m)−1​

Answer 1

Solution below.

Explanation:

This question requires the concept of Order of Operations and Factorisation.

First, we will evaluate the expressions in the brackets first.

`(1 - xm - n) - 1 + (1 - xn - m) - 1 \\ = 1 - xm - n - 1 + 1 - xn - m - 1 \\`

Next we will cancel out all the "1"s as 1 - 1 + 1 - 1 = 0

That leaves us with:

`- xm - n - xn - m`

Now we can factorise them.

`- xm - n - xn - m \\ = - x(m + n) - n - m \\ = - x(m + n) - 1(n + m) \\ = ( - x - 1)(m + n)`

Note: m + n = n + m