What is expand (4x-9)(2x^2+2x+1) ?

The solution to expand (4x-9)(2x^2+2x+1) is 8x^3-10x^2-14x-9

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expand (4x-9)(2x^2+2x+1)

expand

(4 x - 9) (2 x^{2} + 2 x + 1)

8 x^{3} - 10 x^{2} - 14 x - 9

Solution steps

(4 x - 9) (2 x^{2} + 2 x + 1)

Distribute parentheses

= 4 x \cdot 2 x^{2} + 4 x \cdot 2 x + 4 x \cdot 1 - 9 \cdot 2 x^{2} - 9 \cdot 2 x - 9 \cdot 1

Simplify

4 x \cdot 2 x^{2} + 4 x \cdot 2 x + 4 x \cdot 1 - 9 \cdot 2 x^{2} - 9 \cdot 2 x - 9 \cdot 1 : 8 x^{3} - 10 x^{2} - 14 x - 9

= 8 x^{3} - 10 x^{2} - 14 x - 9

(a + 2 b)^{3}

20 a b^{2} - 5 a^{3} b

456

- \frac{1}{2} + \frac{3}{2} i

- \frac{5}{- 5}

What is expand (4x-9)(2x^2+2x+1) ?
The solution to expand (4x-9)(2x^2+2x+1) is 8x^3-10x^2-14x-9