What is factor (c-d)^3-(a-2b)^3 ?

The solution to factor (c-d)^3-(a-2b)^3 is (c-d-a+2b)((c-d)^2+(c-d)(a-2b)+(a-2b)^2)

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factor (c-d)^3-(a-2b)^3

factor

(c - d)^{3} - (a - 2 b)^{3}

(c - d - a + 2 b) ((c - d)^{2} + (c - d) (a - 2 b) + (a - 2 b)^{2})

Solution steps

(c - d)^{3} - (a - 2 b)^{3}

Apply Difference of Cubes Formula:

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

(c - d)^{3} - (a - 2 b)^{3} = ((c - d) - (a - 2 b)) ((c - d)^{2} + (c - d) (a - 2 b) + (a - 2 b)^{2})

= ((c - d) - (a - 2 b)) ((c - d)^{2} + (c - d) (a - 2 b) + (a - 2 b)^{2})

Refine

= (c + 2 b - d - a) ((c - d)^{2} + (c - d) (a - 2 b) + (a - 2 b)^{2})

1 + a x^{- 1} + b x^{- 2}

\frac{d}{d t} (a t^{2} e^{t} + 5 t)

x^{2} - 6 - 6

5 - 2 x + 4 x - 3

\frac{x ^{2} + 6 x - 40}{2}

What is factor (c-d)^3-(a-2b)^3 ?
The solution to factor (c-d)^3-(a-2b)^3 is (c-d-a+2b)((c-d)^2+(c-d)(a-2b)+(a-2b)^2)