Question

(a+b)^2/(a-b)^2 if (a+b)/(a-b)=c

Answer 1

`((a+b)^2)/((a-b)^2) = c ^2`

Explanation:

Pre-Solving

We are given that:

`(a+b)/(a-b)=c`

And we want to find out the value of
`((a+b)^2)/((a-b)^2)`.

We can recall that x² = x * x.
Applying the same principle, (a+b)² = (a+b)(a+b) and (a-b)² = (a-b)(a-b).

This means that:

`((a+b)(a+b))/((a-b)(a-b))`

Solving

We can break down
`((a+b)(a+b))/((a-b)(a-b))` into:

`((a+b))/((a-b)) * ((a+b))/((a-b))`

Substitute c for
`((a+b))/((a-b))`.

c * c = c²