What is factor 6x^3-5x^2y-24xy^2+20y^3 ?

The solution to factor 6x^3-5x^2y-24xy^2+20y^3 is (6x-5y)(x+2y)(x-2y)

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factor 6x^3-5x^2y-24xy^2+20y^3

factor

6 x^{3} - 5 x^{2} y - 24 x y^{2} + 20 y^{3}

(6 x - 5 y) (x + 2 y) (x - 2 y)

Solution steps

6 x^{3} - 5 x^{2} y - 24 x y^{2} + 20 y^{3}

= (6 x^{3} - 5 x^{2} y) + (20 y^{3} - 24 x y^{2})

Factor out

x^{2}

from

6 x^{3} - 5 x^{2} y : x^{2} (6 x - 5 y)

Factor out

4 y^{2}

from

20 y^{3} - 24 x y^{2} : 4 y^{2} (5 y - 6 x)

= x^{2} (6 x - 5 y) + 4 y^{2} (5 y - 6 x)

4 y^{2} (5 y - 6 x) = - 4 y^{2} (6 x - 5 y)

= x^{2} (6 x - 5 y) - 4 y^{2} (6 x - 5 y)

Factor out common term

6 x - 5 y

= (6 x - 5 y) (x^{2} - 4 y^{2})

Factor

x^{2} - 4 y^{2} : (x + 2 y) (x - 2 y)

= (6 x - 5 y) (x + 2 y) (x - 2 y)

(x + 2) (x - 5) = 0

1 + 3

36 p^{2} + 14 p

k - 6 < 3

\frac{18 a ^{3} b ^{2}}{2 ab}

What is factor 6x^3-5x^2y-24xy^2+20y^3 ?
The solution to factor 6x^3-5x^2y-24xy^2+20y^3 is (6x-5y)(x+2y)(x-2y)