What is expand (-3x-1)(2x^2-x-2) ?

The solution to expand (-3x-1)(2x^2-x-2) is -6x^3+x^2+7x+2

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expand (-3x-1)(2x^2-x-2)

expand

(- 3 x - 1) (2 x^{2} - x - 2)

- 6 x^{3} + x^{2} + 7 x + 2

Solution steps

(- 3 x - 1) (2 x^{2} - x - 2)

Distribute parentheses

= - 3 x \cdot 2 x^{2} - 3 x (- x) - 3 x (- 2) - 1 \cdot 2 x^{2} - 1 \cdot (- x) - 1 \cdot (- 2)

Simplify

- 3 x \cdot 2 x^{2} - 3 x (- x) - 3 x (- 2) - 1 \cdot 2 x^{2} - 1 \cdot (- x) - 1 \cdot (- 2) : - 6 x^{3} + x^{2} + 7 x + 2

= - 6 x^{3} + x^{2} + 7 x + 2

\frac{400 ( 7 - 3 )}{- 2}

10 \times 10

2 \times 10

- 3150

What is expand (-3x-1)(2x^2-x-2) ?
The solution to expand (-3x-1)(2x^2-x-2) is -6x^3+x^2+7x+2