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

The solution to expand (x^2-2x-2)(3x^2-4x+4) is 3x^4-10x^3+6x^2-8

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

expand

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

3 x^{4} - 10 x^{3} + 6 x^{2} - 8

Solution steps

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

Distribute parentheses

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

Simplify

x^{2} \cdot 3 x^{2} + x^{2} (- 4 x) + x^{2} \cdot 4 - 2 x \cdot 3 x^{2} - 2 x (- 4 x) - 2 x \cdot 4 - 2 \cdot 3 x^{2} - 2 (- 4 x) - 2 \cdot 4 : 3 x^{4} - 10 x^{3} + 6 x^{2} - 8

= 3 x^{4} - 10 x^{3} + 6 x^{2} - 8

\frac{x ^{12}}{x ^{3}}

\frac{- a ^{2} b}{- ab}

\frac{\frac{2 x + 5}{4}}{\frac{2 x + 5}{6}}

- 5 + (- 10)

\frac{1}{2 x ^{2} - 4 x} - \frac{2}{x}

What is expand (x^2-2x-2)(3x^2-4x+4) ?
The solution to expand (x^2-2x-2)(3x^2-4x+4) is 3x^4-10x^3+6x^2-8