Question

(a-¹ + b-¹) ÷ (a-² - b-²)

Answer 1

Step-by-step explanation:

$= \frac{(a^{ - 1} + b^{ - 1} )}{(a^{ - 2} - b^{ - 2} ) } \\ = \frac{(a^{2} - b^{2} )}{(a + b)} \\ \: by \: using formula \: (a^{2} - {b}^{2}) = (a + b)(a - b) \\ = \frac{(a + b)(a - b)}{(a + b)} \\ = (a - b)$