What is expand 3k^2(-2k^2-4k+7) ?

The solution to expand 3k^2(-2k^2-4k+7) is -6k^4-12k^3+21k^2

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expand 3k^2(-2k^2-4k+7)

expand

3 k^{2} (- 2 k^{2} - 4 k + 7)

- 6 k^{4} - 12 k^{3} + 21 k^{2}

Solution steps

3 k^{2} (- 2 k^{2} - 4 k + 7)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

3 k^{2} (- 2 k^{2} - 4 k + 7) = 3 k^{2} (- 2 k^{2}) + 3 k^{2} (- 4 k) + 3 k^{2} \cdot 7

= 3 k^{2} (- 2 k^{2}) + 3 k^{2} (- 4 k) + 3 k^{2} \cdot 7

Simplify

3 k^{2} (- 2 k^{2}) + 3 k^{2} (- 4 k) + 3 k^{2} \cdot 7 : - 6 k^{4} - 12 k^{3} + 21 k^{2}

= - 6 k^{4} - 12 k^{3} + 21 k^{2}

(- 1) - 3

\frac{8 a ^{5} b ^{- 1}}{2 a ^{4}}

cos (2 x) \cdot sin (2 x)

\frac{x ^{2} + 5 x + 4}{x ^{2} + 2 x + 1} \cdot \frac{2 x + 2}{x + 4}

What is expand 3k^2(-2k^2-4k+7) ?
The solution to expand 3k^2(-2k^2-4k+7) is -6k^4-12k^3+21k^2