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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

(x + y)

from

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

Factor out

2

from

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

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

Factor out common term

(x + y) + 1

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

Refine

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

2 x^{2} + 3 x = 4 x + 12

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

\frac{3}{10} x - \frac{1}{5} = - 2

p + 9 < 7

\frac{( x - 2 ) ( x - 3 )}{6} - \frac{( x - 1 ) ^{2}}{4} = 2 - x

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