What is factor 2(x+y)^2+7(x+y)+5 ?

The solution to factor 2(x+y)^2+7(x+y)+5 is (x+y+1)(2(x+y)+5)

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factor 2(x+y)^2+7(x+y)+5

factor

2 (x + y)^{2} + 7 (x + y) + 5

(x + y + 1) (2 (x + y) + 5)

Solution steps

2 (x + y)^{2} + 7 (x + y) + 5

Break the expression into groups

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

Factor out

2 (x + y)

from

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

Factor out

5

from

5 (x + y) + 5 : 5 ((x + y) + 1)

= 2 (x + y) ((x + y) + 1) + 5 ((x + y) + 1)

Factor out common term

(x + y) + 1

= ((x + y) + 1) (2 (x + y) + 5)

Refine

= (x + y + 1) (2 (x + y) + 5)

x^{2} - 0 x + 3

(a^{2} b^{3}) 2

5^{2} + 4 x - 12

- 3 w^{2} x^{6} d w + 3 w x^{4} d w

(- 4.9) t^{2} - 5 t + 650

What is factor 2(x+y)^2+7(x+y)+5 ?
The solution to factor 2(x+y)^2+7(x+y)+5 is (x+y+1)(2(x+y)+5)