Question

Factorise the following:-
(5a+4b) (25a^2-20ab+16b^2)

Answer 1

Answer:

(25a²-16b²)(5a-4b) are the factors

Step-by-step explanation:

=(5a+4b) {(5a)²-2 × 5a× 4b (4b)²}

=(5a+4b) (5a-4b)²

=(5a+4b) (5a-4b) (5a-4b)

={(5a)²-(4b)²}(5a-4b)

= (25a²-16b²)(5a-4b)

Identities used -:

(a-b)²= a²+b²-2ab

and

a²-b²=(a+b)(a-b)