Question

(2x+y) ²+2(2x+y)³ find the factorisation​

Answer 1

(x + 2y)^2 - 4(2x - y)^2 = (x + 2y)^2 - (2^2)(2x - y)^2= (x+2y)^2 - (2(2x-y))^2= (x+2y)^2 - (4x - 2y)^2 = (x + 2y +(4x-2y ))(x+ 2y - (4x - 2y))= (x + 2y + 4x - 2y)(x + 2y - 4x + 2y) =(5x)(-3x+4y)= 5x(4y - 3x) .

Answer 2

Answer:

(2x+y)²(4x+2y+1)

Explanation:

Substitute t=2x+y and check common factor.

There are t² and +2t³. They share t² as common factor.

Therefore, the factorization is t²(2t+1).

By substitution, correct answer is (2x+y)²(4x+2y+1)