Question

Factorize : 2x3 + 13x2y + 21xy2​

Answer 1

Answer:

$2 {x}^{3} + 13 {x}^{2} y + 21x {y}^{2} \\ = 2 {x}^{3} + 6 {x}^{2} y + 7 {x}^{2} y + 21x {y}^{2} \\ = 2 {x}^{2} (x + 3y) + 7xy(x + 3y) \\ = (2 {x}^{2} + 7xy)(x + 3y)$

Answer 2

Answer:

+13x

2

y+21xy

2

=2x

3

+6x

2

y+7x

2

y+21xy

2

=2x

2

(x+3y)+7xy(x+3y)

=(2x

2

+7xy)(x+3y)