What is factor 2x^2-6xy+xy^2-3y^3 ?

The solution to factor 2x^2-6xy+xy^2-3y^3 is (x-3y)(2x+y^2)

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factor 2x^2-6xy+xy^2-3y^3

factor

2 x^{2} - 6 x y + x y^{2} - 3 y^{3}

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

Solution steps

2 x^{2} - 6 x y + x y^{2} - 3 y^{3}

= (2 x^{2} - 6 x y) + (x y^{2} - 3 y^{3})

Factor out

2 x

from

2 x^{2} - 6 x y : 2 x (x - 3 y)

Factor out

y^{2}

from

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

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

Factor out common term

x - 3 y

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

(d + 1)^{- 2}

(\frac{2}{3} x^{2} + \frac{4}{5} y^{2})^{2}

2^{- p} + 3^{- q} + 5^{- r}

(7 x^{3} y^{5})^{2}

(\frac{1}{( 3 a )} - \frac{2}{( 5 b )})^{3}

What is factor 2x^2-6xy+xy^2-3y^3 ?
The solution to factor 2x^2-6xy+xy^2-3y^3 is (x-3y)(2x+y^2)