Factorize:
$2 x + 3 x y + 2 y + 3 y^{2}$

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Solution

Given polynomial is $2 x + 3 x y + 2 y + 3 y^{2}$
It can be factorised as
$2 x + 3 x y + 2 y + 3 y^{2} = x (2 + 3 y) + y (2 + 3 y) = (x + y) (2 + 3 y)$
Thus factors are $(x + y), (2 + 3 y)$ .

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Factorize:2x+3xy+2y+3y2

Given polynomial is 2x+3xy+2y+3y2It can be factorised as 2x+3xy+2y+3y2=x(2+3y)+y(2+3y)=(x+y)(2+3y)Thus factors are (x+y),(2+3y).

Factorize:
$2 x + 3 x y + 2 y + 3 y^{2}$

Given polynomial is $2 x + 3 x y + 2 y + 3 y^{2}$
It can be factorised as
$2 x + 3 x y + 2 y + 3 y^{2} = x (2 + 3 y) + y (2 + 3 y) = (x + y) (2 + 3 y)$
Thus factors are $(x + y), (2 + 3 y)$ .