Question

Given a is not equal to b and (a^2-b^2)/a+b=12, find a-b.

Answer 1

a - b = 12

Explanation:

We can firstly multiply both sides by (a + b), so now we have the equation 12(a + b) = a^2 - b^2. Realizing that a^2 - b^2 is just (a + b)(a - b), we can then divide by (a + b) on both sides to get (a - b) = 12.

Answer 2

`~~~~~~(a^2 -b^2 )/(a+b) =12\\\\\\\implies ((a+b)(a-b))/((a+b)) = 12\\\\\\\implies a-b = 12\\\\`