Answer:
a - b = 12
Step-by-step explanation:
Given
[tex]\frac{a^2-b^2}{a+b}[/tex] = 12 ← factor the numerator
a² - b² ← is a difference of squares and factors as
a² - b² = (a - b)(a + b)
Thus
[tex]\frac{(a-b)(a+b)}{a+b}[/tex] = 12
Cancel the common factor (a + b) on numerator/ denominator, thus
a - b = 12
