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

The solution to expand (x+2)(2x^2-x-9) is 2x^3+3x^2-11x-18

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

expand

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

2 x^{3} + 3 x^{2} - 11 x - 18

Solution steps

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

Distribute parentheses

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

Simplify

x \cdot 2 x^{2} + x (- x) + x (- 9) + 2 \cdot 2 x^{2} + 2 (- x) + 2 (- 9) : 2 x^{3} + 3 x^{2} - 11 x - 18

= 2 x^{3} + 3 x^{2} - 11 x - 18

- 2 (x + 5)

(10 x^{2} - 10 x + 2) - (- 8 x^{2} + 7 x - 7)

(x + 3)^{2}

(4 a - 1)^{2}

(- 15)^{0}

What is expand (x+2)(2x^2-x-9) ?
The solution to expand (x+2)(2x^2-x-9) is 2x^3+3x^2-11x-18