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

The solution to expand (-x+1)(x^2-3x+4) is -x^3+4x^2-7x+4

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

expand

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

- x^{3} + 4 x^{2} - 7 x + 4

Solution steps

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

Distribute parentheses

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

Simplify

- x x^{2} - x (- 3 x) - x \cdot 4 + 1 \cdot x^{2} + 1 \cdot (- 3 x) + 1 \cdot 4 : - x^{3} + 4 x^{2} - 7 x + 4

= - x^{3} + 4 x^{2} - 7 x + 4

320 + 25

60 + 70 x

2 \times \frac{5}{2}

- 2 \times (- 6)

x^{2} \times (- x)

What is expand (-x+1)(x^2-3x+4) ?
The solution to expand (-x+1)(x^2-3x+4) is -x^3+4x^2-7x+4