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{3 ( - 2 x - 3 y + 6 ) ^{2}}{2}

A (2, 1) B (3, - 4) Y C (- 1, 3)

2 π \cdot (1 - \frac{1}{e ^{2}})

\frac{2}{x ( x + 1 ) ^{2}}

\frac{1 ^{2}}{S ( S ^{2} + 1 ^{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