What is expand-4x(c(x-c)^2) ?

The solution to expand-4x(c(x-c)^2) is -4cx^3+8c^2x^2-4c^3x

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expand-4x(c(x-c)^2)

expand

- 4 x (c (x - c)^{2})

- 4 c x^{3} + 8 c^{2} x^{2} - 4 c^{3} x

Solution steps

- 4 x (c (x - c)^{2})

Remove parentheses:

(a) = a

= - 4 x c (x - c)^{2}

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

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

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= - 4 c x^{2} x + 4 \cdot 2 cc xx - 4 c^{2} c x

Simplify

- 4 c x^{2} x + 4 \cdot 2 cc xx - 4 c^{2} c x : - 4 c x^{3} + 8 c^{2} x^{2} - 4 c^{3} x

= - 4 c x^{3} + 8 c^{2} x^{2} - 4 c^{3} x

\frac{8}{( s ^{2} + 4 ) ( s + 3 )}

(x e^{x} - e^{x}) \cdot (2 x - 1)

\frac{12 s - 3}{( 3 s + 2 ) ^{2}}

(3 e^{4 x} + 2)^{2}

\frac{x + 2}{( x - 2 ) ^{2}}

What is expand-4x(c(x-c)^2) ?
The solution to expand-4x(c(x-c)^2) is -4cx^3+8c^2x^2-4c^3x