Question

find the product of
(√a+√b)(a-√ab+b)​

Answer 1

Answer:

$= ( \sqrt{a } + \sqrt{b} )(a - \sqrt{ab} + b) \\ = a \sqrt{a} - a \sqrt{b} + b \sqrt{a} + a \sqrt{b} - b \sqrt{a} + b \sqrt{b} \\ = a \sqrt{a } + b \sqrt{b}$

Hope it helps.

Answer 2

(√a + √b)(a - √ab + b)

= a√a - a√b + b√a + a√b - b√a + b√b

= a√a + b√b