What is expand-5x^3(2x^2-7x+6) ?

The solution to expand-5x^3(2x^2-7x+6) is -10x^5+35x^4-30x^3

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expand-5x^3(2x^2-7x+6)

expand

- 5 x^{3} (2 x^{2} - 7 x + 6)

- 10 x^{5} + 35 x^{4} - 30 x^{3}

Solution steps

- 5 x^{3} (2 x^{2} - 7 x + 6)

Apply the distributive law:

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

- 5 x^{3} (2 x^{2} - 7 x + 6) = - 5 x^{3} \cdot 2 x^{2} - 5 x^{3} (- 7 x) - 5 x^{3} \cdot 6

= - 5 x^{3} \cdot 2 x^{2} - 5 x^{3} (- 7 x) - 5 x^{3} \cdot 6

Simplify

- 5 x^{3} \cdot 2 x^{2} - 5 x^{3} (- 7 x) - 5 x^{3} \cdot 6 : - 10 x^{5} + 35 x^{4} - 30 x^{3}

= - 10 x^{5} + 35 x^{4} - 30 x^{3}

9 e^{\frac{- 9 ^{2}}{162}}

\frac{3 x + 7}{2} + \frac{1 + x}{3}

\frac{4 + 1}{2}

(n - 1) (2 n - 1)

What is expand-5x^3(2x^2-7x+6) ?
The solution to expand-5x^3(2x^2-7x+6) is -10x^5+35x^4-30x^3