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

The solution to expand (3x^2+2x+2)(3x^2-2x-3) is 9x^4-7x^2-10x-6

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

expand

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

9 x^{4} - 7 x^{2} - 10 x - 6

Solution steps

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

Distribute parentheses

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

Simplify

3 x^{2} \cdot 3 x^{2} + 3 x^{2} (- 2 x) + 3 x^{2} (- 3) + 2 x \cdot 3 x^{2} + 2 x (- 2 x) + 2 x (- 3) + 2 \cdot 3 x^{2} + 2 (- 2 x) + 2 (- 3) : 9 x^{4} - 7 x^{2} - 10 x - 6

= 9 x^{4} - 7 x^{2} - 10 x - 6

\frac{2}{3} x^{a} - \frac{5}{3} x^{a} + \frac{4}{3} x^{a} - \frac{1}{3} x^{a}

6 \cdot 20

\frac{1}{100} + \frac{1}{100}

\frac{2000 ( 40 )}{100 - ( 40 )}

\frac{1}{7} + \frac{3}{5}

What is expand (3x^2+2x+2)(3x^2-2x-3) ?
The solution to expand (3x^2+2x+2)(3x^2-2x-3) is 9x^4-7x^2-10x-6