What is factor 2(x+y)^2+5(x+y)+3 ?

The solution to factor 2(x+y)^2+5(x+y)+3 is (x+y+1)(2(x+y)+3)

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factor 2(x+y)^2+5(x+y)+3

factor

2 (x + y)^{2} + 5 (x + y) + 3

(x + y + 1) (2 (x + y) + 3)

Solution steps

2 (x + y)^{2} + 5 (x + y) + 3

Break the expression into groups

= (2 (x + y)^{2} + 2 (x + y)) + (3 (x + y) + 3)

Factor out

2 (x + y)

from

2 (x + y)^{2} + 2 (x + y) : 2 (x + y) ((x + y) + 1)

Factor out

3

from

3 (x + y) + 3 : 3 ((x + y) + 1)

= 2 (x + y) ((x + y) + 1) + 3 ((x + y) + 1)

Factor out common term

(x + y) + 1

= ((x + y) + 1) (2 (x + y) + 3)

Refine

= (x + y + 1) (2 (x + y) + 3)

(x + 2) (x + 2)

64 x^{3} y^{9} - 125 z^{3} w^{6}

x^{5} - 2 x^{- 2}

3 a x + 3 a y - 2 b x - 2 b y

8 x^{9} y^{6} + z^{15}

What is factor 2(x+y)^2+5(x+y)+3 ?
The solution to factor 2(x+y)^2+5(x+y)+3 is (x+y+1)(2(x+y)+3)