What is factor x^2y+xy^2+2xyz+xy^2+y^3+2y^2z ?

The solution to factor x^2y+xy^2+2xyz+xy^2+y^3+2y^2z is y(x^2+2xy+2xz+y^2+2yz)

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factor x^2y+xy^2+2xyz+xy^2+y^3+2y^2z

factor

x^{2} y + x y^{2} + 2 x yz + x y^{2} + y^{3} + 2 y^{2} z

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

Solution steps

x^{2} y + x y^{2} + 2 x yz + x y^{2} + y^{3} + 2 y^{2} z

Add similar elements:

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

= x^{2} y + 2 x y^{2} + 2 x yz + y^{3} + 2 y^{2} z

Factor out common term

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

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

x^{2} + 25 = 0

\frac{x}{5} = 7

x^{2} < - 1

3 x^{2} = 81

3 n^{2} + 2 n

What is factor x^2y+xy^2+2xyz+xy^2+y^3+2y^2z ?
The solution to factor x^2y+xy^2+2xyz+xy^2+y^3+2y^2z is y(x^2+2xy+2xz+y^2+2yz)