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

The solution to expand (-x^2-x-4)(3x^2+x-4) is -3x^4-4x^3-9x^2+16

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

expand

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

- 3 x^{4} - 4 x^{3} - 9 x^{2} + 16

Solution steps

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

Distribute parentheses

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

Simplify

- x^{2} \cdot 3 x^{2} - x^{2} x - x^{2} (- 4) - x \cdot 3 x^{2} - xx - x (- 4) - 4 \cdot 3 x^{2} - 4 x - 4 (- 4) : - 3 x^{4} - 4 x^{3} - 9 x^{2} + 16

= - 3 x^{4} - 4 x^{3} - 9 x^{2} + 16

\frac{1}{3} - \frac{4}{9}

x^{2} + 5 x + 2 x + 10

6 x - 15 x

s s^{9}

\frac{3 x + 9}{6 x}

What is expand (-x^2-x-4)(3x^2+x-4) ?
The solution to expand (-x^2-x-4)(3x^2+x-4) is -3x^4-4x^3-9x^2+16