Question

factorize 6(x+2y)^3+8(x+2y)^2

Answer 1

Step-by-step explanation:

$6(x+2y)^3+8(x+2y)^2 \\ = 2 {(x + 2y)}^{2} \times 3(x + 2y) + 2 {(x + 2y)}^{2} \times 4 \\ = 2{(x + 2y)}^{2}(3(x + 2y) + 4) \\ = 2{(x + 2y)}^{2}(3x + 6y + 4) \\ = 2(x + 2y)(x + 2y)(3x + 6y + 4)$