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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

\frac{12 h ^{9}}{( 3 h ^{4} ) ^{5}}

3 m (m - 4) - (m - 4)

(x + \frac{1}{x})^{4}

\frac{5}{10000}

(a^{2} + b)^{3}

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