Question

Resolve the factors :-
(a²+2ab) - (c²-2bc)

Answer 1

(a + c)(a + 2b - c)

Explanation:

(a² + 2ab) - (c² - 2bc) =

= a² + 2ab - c² + 2bc

= a² - c² + 2ab + 2bc

= (a + c)(a - c) + 2b(a + c)

= (a + c)(a + 2b - c)