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

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

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

expand

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

x^{3} - 3 x + 2

Solution steps

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

Distribute parentheses

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

Simplify

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

= x^{3} - 3 x + 2

- 2 t^{2} + 20 t

\frac{4}{72}

\frac{56}{64}

\frac{37}{3} - \frac{4}{9}

3 + 22 + 3 - 22

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