What is expand (x^2-2x-10)(-x^2-2x+1) ?

The solution to expand (x^2-2x-10)(-x^2-2x+1) is -x^4+15x^2+18x-10

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expand (x^2-2x-10)(-x^2-2x+1)

expand

(x^{2} - 2 x - 10) (- x^{2} - 2 x + 1)

- x^{4} + 15 x^{2} + 18 x - 10

Solution steps

(x^{2} - 2 x - 10) (- x^{2} - 2 x + 1)

Distribute parentheses

= x^{2} (- x^{2}) + x^{2} (- 2 x) + x^{2} \cdot 1 - 2 x (- x^{2}) - 2 x (- 2 x) - 2 x \cdot 1 - 10 (- x^{2}) - 10 (- 2 x) - 10 \cdot 1

Simplify

x^{2} (- x^{2}) + x^{2} (- 2 x) + x^{2} \cdot 1 - 2 x (- x^{2}) - 2 x (- 2 x) - 2 x \cdot 1 - 10 (- x^{2}) - 10 (- 2 x) - 10 \cdot 1 : - x^{4} + 15 x^{2} + 18 x - 10

= - x^{4} + 15 x^{2} + 18 x - 10

(7 - 10) (- 8 - 7)

(b + 3) (b^{2} + 2 b + 1)

cot (x) + \frac{sin ( x )}{1 + cos ( x )}

7 \frac{1}{5}

2 x^{2} - 8 x + 4

What is expand (x^2-2x-10)(-x^2-2x+1) ?
The solution to expand (x^2-2x-10)(-x^2-2x+1) is -x^4+15x^2+18x-10