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

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

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

factor

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

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

Solution steps

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

[a X + bY]

a^{3} b^{3} x^{3} + 1

1 + 27 e^{3 x}

(5 x + y)^{2} + (5 x + y) - 42

t^{2} - 1.4 t + 0.49

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