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

The solution to expand (3x-5)(-x^2-2x+2) is -3x^3-x^2+16x-10

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

expand

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

- 3 x^{3} - x^{2} + 16 x - 10

Solution steps

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

Distribute parentheses

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

Simplify

3 x (- x^{2}) + 3 x (- 2 x) + 3 x \cdot 2 - 5 (- x^{2}) - 5 (- 2 x) - 5 \cdot 2 : - 3 x^{3} - x^{2} + 16 x - 10

= - 3 x^{3} - x^{2} + 16 x - 10

\frac{4 x ^{8} - 10 x ^{6}}{2 x ^{3}}

6 \cdot 354

- 4 \times (- 6)

(30 - x)^{2}

- 384

What is expand (3x-5)(-x^2-2x+2) ?
The solution to expand (3x-5)(-x^2-2x+2) is -3x^3-x^2+16x-10