What is expand (-x^2+3x-4)(x^2-5x-1) ?

The solution to expand (-x^2+3x-4)(x^2-5x-1) is -x^4+8x^3-18x^2+17x+4

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expand (-x^2+3x-4)(x^2-5x-1)

expand

(- x^{2} + 3 x - 4) (x^{2} - 5 x - 1)

- x^{4} + 8 x^{3} - 18 x^{2} + 17 x + 4

Solution steps

(- x^{2} + 3 x - 4) (x^{2} - 5 x - 1)

Distribute parentheses

= - x^{2} x^{2} - x^{2} (- 5 x) - x^{2} (- 1) + 3 x x^{2} + 3 x (- 5 x) + 3 x (- 1) - 4 x^{2} - 4 (- 5 x) - 4 (- 1)

Simplify

- x^{2} x^{2} - x^{2} (- 5 x) - x^{2} (- 1) + 3 x x^{2} + 3 x (- 5 x) + 3 x (- 1) - 4 x^{2} - 4 (- 5 x) - 4 (- 1) : - x^{4} + 8 x^{3} - 18 x^{2} + 17 x + 4

= - x^{4} + 8 x^{3} - 18 x^{2} + 17 x + 4

(- 8 i) (- 5 - 6 i)

1 + \frac{x}{y}

r^{2} - 9 s^{4}

3^{- 9}

3 (5 x - 1) - 2 x

What is expand (-x^2+3x-4)(x^2-5x-1) ?
The solution to expand (-x^2+3x-4)(x^2-5x-1) is -x^4+8x^3-18x^2+17x+4