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

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

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

expand

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

- 30 x^{5} + 5 x^{3} - 10 x^{2}

Solution steps

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

Apply the distributive law:

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

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

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

Simplify

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

= - 30 x^{5} + 5 x^{3} - 10 x^{2}

(5^{5})^{2}

1 \frac{3}{4} - \frac{1}{2}

9^{- 6}

\frac{x ^{3} + 1}{x ^{3} - x}

\frac{6}{5} + \frac{7}{8}

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