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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

= (2 (x + y)^{2} + (x + y)) + (4 (x + y) + 2)

Factor out

(x + y)

from

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

Factor out

2

from

4 (x + y) + 2 : 2 (2 (x + y) + 1)

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

Factor out common term

2 (x + y) + 1

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

Refine

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

\frac{x}{3} + 5 \geq 3

2 ∣ x ∣ - 7 = 3

3 x^{2} + 15 x = 0

x^{2} + 5 x + 3 = 3

∣ 5 x + 3 ∣ + 4 = 11

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