What is factor x^2y+x+xy^2+y+2xy+2 ?

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

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factor x^2y+x+xy^2+y+2xy+2

factor

x^{2} y + x + x y^{2} + y + 2 x y + 2

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

Solution steps

x^{2} y + x + x y^{2} + y + 2 x y + 2

Group by common factors

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

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

Factor out

x y

from

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

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

Factor out common term

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

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

ab - b^{2} + 3 a - 3 b

- 3 z \leq - 9

\frac{( 2 x + 1 )}{5} = \frac{( x + 1 )}{5}

8 \cdot \frac{1}{2}

6 x^{2} + 14 x + 7 = 0

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