What is expand-2x^3(x-1)(x+5) ?

The solution to expand-2x^3(x-1)(x+5) is -2x^5-8x^4+10x^3

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expand-2x^3(x-1)(x+5)

expand

- 2 x^{3} (x - 1) (x + 5)

- 2 x^{5} - 8 x^{4} + 10 x^{3}

Solution steps

- 2 x^{3} (x - 1) (x + 5)

Expand

- 2 x^{3} (x - 1) (x + 5) : - 2 x^{3} (x^{2} + 4 x - 5)

= - 2 x^{3} (x^{2} + 4 x - 5)

Apply the distributive law:

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

- 2 x^{3} (x^{2} + 4 x - 5) = - 2 x^{3} x^{2} - 2 x^{3} \cdot 4 x - 2 x^{3} (- 5)

= - 2 x^{3} x^{2} - 2 x^{3} \cdot 4 x - 2 x^{3} (- 5)

Simplify

- 2 x^{3} x^{2} - 2 x^{3} \cdot 4 x - 2 x^{3} (- 5) : - 2 x^{5} - 8 x^{4} + 10 x^{3}

= - 2 x^{5} - 8 x^{4} + 10 x^{3}

7 (\frac{x + 7}{5}) - 5

\frac{2}{3} \times \frac{4}{9}

\frac{38 - 20}{20}

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

What is expand-2x^3(x-1)(x+5) ?
The solution to expand-2x^3(x-1)(x+5) is -2x^5-8x^4+10x^3