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

The solution to expand-3x^2(5x^3-2x^2+x-7) is -15x^5+6x^4-3x^3+21x^2

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

expand

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

- 15 x^{5} + 6 x^{4} - 3 x^{3} + 21 x^{2}

Solution steps

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

Distribute parentheses

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

Simplify

- 3 x^{2} \cdot 5 x^{3} - 3 x^{2} (- 2 x^{2}) - 3 x^{2} x - 3 x^{2} (- 7) : - 15 x^{5} + 6 x^{4} - 3 x^{3} + 21 x^{2}

= - 15 x^{5} + 6 x^{4} - 3 x^{3} + 21 x^{2}

\frac{22}{6 + 14}

\frac{3}{4} + 1.6

\frac{18 x - 6}{15 x ^{3} - 5 x ^{2}}

4 x^{4} + 36 x^{2} + 81

6 + 1

What is expand-3x^2(5x^3-2x^2+x-7) ?
The solution to expand-3x^2(5x^3-2x^2+x-7) is -15x^5+6x^4-3x^3+21x^2