What is expand (-x+3)(x^2-4x-6) ?

The solution to expand (-x+3)(x^2-4x-6) is -x^3+7x^2-6x-18

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expand (-x+3)(x^2-4x-6)

expand

(- x + 3) (x^{2} - 4 x - 6)

- x^{3} + 7 x^{2} - 6 x - 18

Solution steps

(- x + 3) (x^{2} - 4 x - 6)

Distribute parentheses

= - x x^{2} - x (- 4 x) - x (- 6) + 3 x^{2} + 3 (- 4 x) + 3 (- 6)

Simplify

- x x^{2} - x (- 4 x) - x (- 6) + 3 x^{2} + 3 (- 4 x) + 3 (- 6) : - x^{3} + 7 x^{2} - 6 x - 18

= - x^{3} + 7 x^{2} - 6 x - 18

(9 x - 13 x^{3} + 12 - 15 x^{2}) (- 2 x^{3})

\frac{1}{x - 8} - \frac{1}{8 - x}

\frac{x ^{2} - 64}{x - 8} \cdot \frac{x + 5}{x ^{2} + 13 x + 40}

\frac{4}{48}

\frac{5 n ^{2} - 11 mn + 6 m ^{2}}{m - n}

What is expand (-x+3)(x^2-4x-6) ?
The solution to expand (-x+3)(x^2-4x-6) is -x^3+7x^2-6x-18