What is expand-3x^3(x^2-2x-4) ?

The solution to expand-3x^3(x^2-2x-4) is -3x^5+6x^4+12x^3

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expand-3x^3(x^2-2x-4)

expand

- 3 x^{3} (x^{2} - 2 x - 4)

- 3 x^{5} + 6 x^{4} + 12 x^{3}

Solution steps

- 3 x^{3} (x^{2} - 2 x - 4)

Apply the distributive law:

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

- 3 x^{3} (x^{2} - 2 x - 4) = - 3 x^{3} x^{2} - 3 x^{3} (- 2 x) - 3 x^{3} (- 4)

= - 3 x^{3} x^{2} - 3 x^{3} (- 2 x) - 3 x^{3} (- 4)

Simplify

- 3 x^{3} x^{2} - 3 x^{3} (- 2 x) - 3 x^{3} (- 4) : - 3 x^{5} + 6 x^{4} + 12 x^{3}

= - 3 x^{5} + 6 x^{4} + 12 x^{3}

x^{2} + 8 x - 84

5 x^{2} + 7 x

5 x^{2} - 10

8 \frac{4}{5}

\frac{x ^{- 5} z ^{2}}{y ^{- 2}}

What is expand-3x^3(x^2-2x-4) ?
The solution to expand-3x^3(x^2-2x-4) is -3x^5+6x^4+12x^3