What is factor (x-h)^3-x^3 ?

The solution to factor (x-h)^3-x^3 is -h(3x^2-3xh+h^2)

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factor (x-h)^3-x^3

factor

(x - h)^{3} - x^{3}

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

Solution steps

(x - h)^{3} - x^{3}

Apply Difference of Cubes Formula:

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

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

= ((x - h) - x) (x^{2} + x (x - h) + (x - h)^{2})

Refine

= - h (x^{2} + x (x - h) + (x - h)^{2})

Expand

(x - h)^{2} + x (x - h) + x^{2} : 3 x^{2} - 3 x h + h^{2}

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

\frac{3 x - 9}{3 ( x - 3 )}

120 H (2 t - 6)

250

2 a x - 6 b x + 12 c x - 2 d x

cos (2 x + 2 y)

What is factor (x-h)^3-x^3 ?
The solution to factor (x-h)^3-x^3 is -h(3x^2-3xh+h^2)