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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

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

9 x^{2} + 5 x - 26

\frac{15 18}{8 54}

(t - 2) u_{3} (t)

\frac{2}{2} + 1

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