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

The solution to expand (x-4)(-2x^2-3x+4) is -2x^3+5x^2+16x-16

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

expand

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

- 2 x^{3} + 5 x^{2} + 16 x - 16

Solution steps

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

Distribute parentheses

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

Simplify

x (- 2 x^{2}) + x (- 3 x) + x \cdot 4 - 4 (- 2 x^{2}) - 4 (- 3 x) - 4 \cdot 4 : - 2 x^{3} + 5 x^{2} + 16 x - 16

= - 2 x^{3} + 5 x^{2} + 16 x - 16

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

\frac{p ^{2} - 9}{p ^{2} - 3 p}

9 (3 x + 8) - 3 (4 x + 21)

\frac{31}{20}

(2 9 - x^{2})^{2}

What is expand (x-4)(-2x^2-3x+4) ?
The solution to expand (x-4)(-2x^2-3x+4) is -2x^3+5x^2+16x-16