What is factor (x-y)^3-8 ?

The solution to factor (x-y)^3-8 is (x-y-2)((x-y)^2+2(x-y)+4)

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factor (x-y)^3-8

factor

(x - y)^{3} - 8

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

Solution steps

(x - y)^{3} - 8

Rewrite

8

2^{3}

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

Apply Difference of Cubes Formula:

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

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

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

Refine

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

(8 + x) (x + 2) - 2 x

(cos (x)) (e^{x})

(8 z^{3}) - 2 y

cot (x) (6 0^{\circ})

9 x^{(4)} - 24 x + 1

What is factor (x-y)^3-8 ?
The solution to factor (x-y)^3-8 is (x-y-2)((x-y)^2+2(x-y)+4)