What is expand (3x^2+4x+4)(2x-4) ?

The solution to expand (3x^2+4x+4)(2x-4) is 6x^3-4x^2-8x-16

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expand (3x^2+4x+4)(2x-4)

expand

(3 x^{2} + 4 x + 4) (2 x - 4)

6 x^{3} - 4 x^{2} - 8 x - 16

Solution steps

(3 x^{2} + 4 x + 4) (2 x - 4)

Distribute parentheses

= 3 x^{2} \cdot 2 x + 3 x^{2} (- 4) + 4 x \cdot 2 x + 4 x (- 4) + 4 \cdot 2 x + 4 (- 4)

Simplify

3 x^{2} \cdot 2 x + 3 x^{2} (- 4) + 4 x \cdot 2 x + 4 x (- 4) + 4 \cdot 2 x + 4 (- 4) : 6 x^{3} - 4 x^{2} - 8 x - 16

= 6 x^{3} - 4 x^{2} - 8 x - 16

(2 x + 5)^{4}

\frac{4 x}{x ^{2} - 4} \cdot \frac{x + 2}{16 x}

cot^{2} (x) (1 + tan^{2} (x))

(5 x - 2) (2 y - 5)

\frac{2 a + 2}{a ^{2} - 1}

What is expand (3x^2+4x+4)(2x-4) ?
The solution to expand (3x^2+4x+4)(2x-4) is 6x^3-4x^2-8x-16