What is expand (x^2-2x-8)(-x^2+3x-5) ?

The solution to expand (x^2-2x-8)(-x^2+3x-5) is -x^4+5x^3-3x^2-14x+40

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expand (x^2-2x-8)(-x^2+3x-5)

expand

(x^{2} - 2 x - 8) (- x^{2} + 3 x - 5)

- x^{4} + 5 x^{3} - 3 x^{2} - 14 x + 40

Solution steps

(x^{2} - 2 x - 8) (- x^{2} + 3 x - 5)

Distribute parentheses

= x^{2} (- x^{2}) + x^{2} \cdot 3 x + x^{2} (- 5) - 2 x (- x^{2}) - 2 x \cdot 3 x - 2 x (- 5) - 8 (- x^{2}) - 8 \cdot 3 x - 8 (- 5)

Simplify

x^{2} (- x^{2}) + x^{2} \cdot 3 x + x^{2} (- 5) - 2 x (- x^{2}) - 2 x \cdot 3 x - 2 x (- 5) - 8 (- x^{2}) - 8 \cdot 3 x - 8 (- 5) : - x^{4} + 5 x^{3} - 3 x^{2} - 14 x + 40

= - x^{4} + 5 x^{3} - 3 x^{2} - 14 x + 40

\frac{x ^{2} + 4 x - 21}{x ^{2} - 9}

\frac{4}{4}

1 x + 1 x

(3 + i) (- 1 - i)

- 12 + (- 9)

What is expand (x^2-2x-8)(-x^2+3x-5) ?
The solution to expand (x^2-2x-8)(-x^2+3x-5) is -x^4+5x^3-3x^2-14x+40