What is expand 5k^2(-6k^2-2k+6) ?

The solution to expand 5k^2(-6k^2-2k+6) is -30k^4-10k^3+30k^2

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expand 5k^2(-6k^2-2k+6)

expand

5 k^{2} (- 6 k^{2} - 2 k + 6)

- 30 k^{4} - 10 k^{3} + 30 k^{2}

Solution steps

5 k^{2} (- 6 k^{2} - 2 k + 6)

Apply the distributive law:

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

5 k^{2} (- 6 k^{2} - 2 k + 6) = 5 k^{2} (- 6 k^{2}) + 5 k^{2} (- 2 k) + 5 k^{2} \cdot 6

= 5 k^{2} (- 6 k^{2}) + 5 k^{2} (- 2 k) + 5 k^{2} \cdot 6

Simplify

5 k^{2} (- 6 k^{2}) + 5 k^{2} (- 2 k) + 5 k^{2} \cdot 6 : - 30 k^{4} - 10 k^{3} + 30 k^{2}

= - 30 k^{4} - 10 k^{3} + 30 k^{2}

1 \cdot 2^{- 1}

(- \frac{3}{2})^{- 2}

a^{3} b^{2} \cdot 4 a b^{3}

\frac{3}{2 3 x}

\frac{1}{2} - \frac{cos ( 2 x )}{2}

What is expand 5k^2(-6k^2-2k+6) ?
The solution to expand 5k^2(-6k^2-2k+6) is -30k^4-10k^3+30k^2