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

The solution to expand (-x-10)(x^2-2x+1) is -x^3-8x^2+19x-10

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

expand

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

- x^{3} - 8 x^{2} + 19 x - 10

Solution steps

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

Distribute parentheses

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

Simplify

- x x^{2} - x (- 2 x) - x \cdot 1 - 10 x^{2} - 10 (- 2 x) - 10 \cdot 1 : - x^{3} - 8 x^{2} + 19 x - 10

= - x^{3} - 8 x^{2} + 19 x - 10

\frac{40}{10}

7 \times 3

x^{2} - 8 x y + 7 y^{2}

121 - 25 x^{2}

(2 x + 8) (3 x - 7)

What is expand (-x-10)(x^2-2x+1) ?
The solution to expand (-x-10)(x^2-2x+1) is -x^3-8x^2+19x-10