What is factor x^3-(2y-3z)^3 ?

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

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factor x^3-(2y-3z)^3

factor

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

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

Solution steps

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

Apply Difference of Cubes Formula:

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

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

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

Refine

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

\frac{d ^{2}}{d x ^{2}} ((y) (x^{3}))

x^{6} y^{3} - 8 a^{3} b^{6}

[y + (4 - 2 x)]^{(2)}

x^{7} + 6 x^{5} + 12 x^{3} + 8 x

2 (x + 1)^{2} - (x + 79)

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