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

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

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

factor

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

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

Solution steps

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

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

Factor out

x^{2}

from

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

Factor out

- 3 y^{2}

from

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

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

Factor out common term

2 x + y

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

3 x + 6 = - 21

532

1 + 10 x + 25 x^{2}

25 n^{4} - 16 n^{2}

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