Question

Given a≠±b and a^2−b^2/a+b =12, find a−b.

Answer 1

$\frac{ {a}^{2} - {b}^{2} }{a + b} = 12 \\ \frac{(a - b)(a + b)}{a + b} = 12 \\ a - b = 12$

a - b = 12

Hope this helps.

Answer 2

$\dfrac{a^2 - b^2}{a+b} = 12$

--------------------------------------------------
Factorise a² - b² :
--------------------------------------------------
$\dfrac{(a+b)(a-b)}{a+b} = 12$

--------------------------------------------------
 Crossed out common factors, (x + a) :
--------------------------------------------------
$a- b = 12$