What is expand 8[c(x-c)^2] ?

The solution to expand 8[c(x-c)^2] is 8cx^2-16c^2x+8c^3

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expand 8[c(x-c)^2]

expand

8 [c (x - c)^{2}]

8 c x^{2} - 16 c^{2} x + 8 c^{3}

Solution steps

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

Remove parentheses:

(a) = a

= 8 c (x - c)^{2}

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

= 8 c (x^{2} - 2 c x + c^{2})

= 8 c (x^{2} - 2 c x + c^{2})

Distribute parentheses

= 8 c x^{2} + 8 c (- 2 x c) + 8 c c^{2}

Apply minus-plus rules

+ (- a) = - a

= 8 c x^{2} - 8 \cdot 2 cc x + 8 c^{2} c

Simplify

8 c x^{2} - 8 \cdot 2 cc x + 8 c^{2} c : 8 c x^{2} - 16 c^{2} x + 8 c^{3}

= 8 c x^{2} - 16 c^{2} x + 8 c^{3}

a (3, - 4) + b (- 2, 6) - c (0, - 8)

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

\frac{1}{x ( x ^{2} + 9 )}

- (1 + 4 v + 4 v^{2}) (v d x + x d v)

\frac{- 16 x - 8 h}{x ^{2} ( x + h ) ^{2}}

What is expand 8[c(x-c)^2] ?
The solution to expand 8[c(x-c)^2] is 8cx^2-16c^2x+8c^3