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

The solution to expand-3x^2(x^3+2x-5) is -3x^5-6x^3+15x^2

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

expand

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

- 3 x^{5} - 6 x^{3} + 15 x^{2}

Solution steps

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

Apply the distributive law:

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

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

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

Simplify

- 3 x^{2} x^{3} - 3 x^{2} \cdot 2 x - 3 x^{2} (- 5) : - 3 x^{5} - 6 x^{3} + 15 x^{2}

= - 3 x^{5} - 6 x^{3} + 15 x^{2}

108 \cdot \frac{5}{18}

- \frac{( - 1 ) ( 5 ( - 1 ) - 12 )}{( ( - 1 ) - 2 ) ^{2} ( ( - 1 ) - 3 ) ^{2}}

x^{2} + \frac{x ^{2}}{4}

4 sin (2 x) cos (2 x)

\frac{5}{4 x ^{2}} + \frac{x + 1}{2 x ^{2} + 4 x}

What is expand-3x^2(x^3+2x-5) ?
The solution to expand-3x^2(x^3+2x-5) is -3x^5-6x^3+15x^2