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

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

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

expand

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

2 x^{3} - 5 x^{2} - x + 6

Solution steps

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

Distribute parentheses

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

Simplify

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

= 2 x^{3} - 5 x^{2} - x + 6

\frac{1}{x + 1} - \frac{1}{x - 1}

(p - q)^{2}

ln (x^{- 1})

- 3 + (- 6)

4 x y^{4} z^{3} - 4 x y^{4} z^{3}

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