What is expand 2x^2(-3x^3+2x^2-6x+4) ?

The solution to expand 2x^2(-3x^3+2x^2-6x+4) is -6x^5+4x^4-12x^3+8x^2

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expand 2x^2(-3x^3+2x^2-6x+4)

expand

2 x^{2} (- 3 x^{3} + 2 x^{2} - 6 x + 4)

- 6 x^{5} + 4 x^{4} - 12 x^{3} + 8 x^{2}

Solution steps

2 x^{2} (- 3 x^{3} + 2 x^{2} - 6 x + 4)

Distribute parentheses

= 2 x^{2} (- 3 x^{3}) + 2 x^{2} \cdot 2 x^{2} + 2 x^{2} (- 6 x) + 2 x^{2} \cdot 4

Simplify

2 x^{2} (- 3 x^{3}) + 2 x^{2} \cdot 2 x^{2} + 2 x^{2} (- 6 x) + 2 x^{2} \cdot 4 : - 6 x^{5} + 4 x^{4} - 12 x^{3} + 8 x^{2}

= - 6 x^{5} + 4 x^{4} - 12 x^{3} + 8 x^{2}

16 \cdot \frac{2}{3}

(3 x^{3} + 4 x^{2} - 7 x + 1) + (9 x^{3} - 4 x^{2} - 6 x)

(6 x - 5) (7 x + 3)

\frac{1}{9} - 3

3 x^{5} - 5 x^{3}

What is expand 2x^2(-3x^3+2x^2-6x+4) ?
The solution to expand 2x^2(-3x^3+2x^2-6x+4) is -6x^5+4x^4-12x^3+8x^2