What is expand (x-2)(2x^2-5x-9) ?

The solution to expand (x-2)(2x^2-5x-9) is 2x^3-9x^2+x+18

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expand (x-2)(2x^2-5x-9)

expand

(x - 2) (2 x^{2} - 5 x - 9)

2 x^{3} - 9 x^{2} + x + 18

Solution steps

(x - 2) (2 x^{2} - 5 x - 9)

Distribute parentheses

= x \cdot 2 x^{2} + x (- 5 x) + x (- 9) - 2 \cdot 2 x^{2} - 2 (- 5 x) - 2 (- 9)

Simplify

x \cdot 2 x^{2} + x (- 5 x) + x (- 9) - 2 \cdot 2 x^{2} - 2 (- 5 x) - 2 (- 9) : 2 x^{3} - 9 x^{2} + x + 18

= 2 x^{3} - 9 x^{2} + x + 18

\frac{14}{100}

(2 x - 3) (x - 1)

\frac{29}{4}

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

\frac{a}{b} + \frac{a}{b}

What is expand (x-2)(2x^2-5x-9) ?
The solution to expand (x-2)(2x^2-5x-9) is 2x^3-9x^2+x+18