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

Question

asked Apr 16, 2024 44.8k views

1 Answer

Subhranil · Answer 1 · 2024-04-20T15:10:06+0000

Answer:

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

Explanation:

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))

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