Question

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

Answer 1

a - b = 12

Explanation:

Given

`(a^2-b^2)/(a+b)` = 12 ← factor the numerator

a² - b² ← is a difference of squares and factors as

a² - b² = (a - b)(a + b)

Thus

`((a-b)(a+b))/(a+b)` = 12

Cancel the common factor (a + b) on numerator/ denominator, thus

a - b = 12