What is expand (x^2+x-1)(3x^2+6x+6) ?

The solution to expand (x^2+x-1)(3x^2+6x+6) is 3x^4+9x^3+9x^2-6

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expand (x^2+x-1)(3x^2+6x+6)

expand

(x^{2} + x - 1) (3 x^{2} + 6 x + 6)

3 x^{4} + 9 x^{3} + 9 x^{2} - 6

Solution steps

(x^{2} + x - 1) (3 x^{2} + 6 x + 6)

Distribute parentheses

= x^{2} \cdot 3 x^{2} + x^{2} \cdot 6 x + x^{2} \cdot 6 + x \cdot 3 x^{2} + x \cdot 6 x + x \cdot 6 - 1 \cdot 3 x^{2} - 1 \cdot 6 x - 1 \cdot 6

Simplify

x^{2} \cdot 3 x^{2} + x^{2} \cdot 6 x + x^{2} \cdot 6 + x \cdot 3 x^{2} + x \cdot 6 x + x \cdot 6 - 1 \cdot 3 x^{2} - 1 \cdot 6 x - 1 \cdot 6 : 3 x^{4} + 9 x^{3} + 9 x^{2} - 6

= 3 x^{4} + 9 x^{3} + 9 x^{2} - 6

3 x (x - 5)

3 x (x - 6)

8 (3 y + 3 z) - 3 y

\frac{9}{x ^{2}} - 1

What is expand (x^2+x-1)(3x^2+6x+6) ?
The solution to expand (x^2+x-1)(3x^2+6x+6) is 3x^4+9x^3+9x^2-6