What is expand 12[k(k^2-4k+1)] ?

The solution to expand 12[k(k^2-4k+1)] is 12k^3-48k^2+12k

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expand 12[k(k^2-4k+1)]

expand

12 [k (k^{2} - 4 k + 1)]

12 k^{3} - 48 k^{2} + 12 k

Solution steps

12 (k (k^{2} - 4 k + 1))

Remove parentheses:

(a) = a

= 12 k (k^{2} - 4 k + 1)

Distribute parentheses

= 12 k k^{2} + 12 k (- 4 k) + 12 k \cdot 1

Apply minus-plus rules

+ (- a) = - a

= 12 k^{2} k - 12 \cdot 4 kk + 12 \cdot 1 \cdot k

Simplify

12 k^{2} k - 12 \cdot 4 kk + 12 \cdot 1 \cdot k : 12 k^{3} - 48 k^{2} + 12 k

= 12 k^{3} - 48 k^{2} + 12 k

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

\frac{d y}{d x}, y^{2} = x^{2} - 2 x

\frac{3 x ^{2} + 8 x + 2}{x ( x + 1 ) ^{2}}

\frac{x ^{2} + 6 x + 1}{( x + 3 ) ^{2}}

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

What is expand 12[k(k^2-4k+1)] ?
The solution to expand 12[k(k^2-4k+1)] is 12k^3-48k^2+12k