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

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

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

expand

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

x^{3} - 2 x^{2} + 2 x - 1

Solution steps

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

Distribute parentheses

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

Simplify

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

= x^{3} - 2 x^{2} + 2 x - 1

2 \frac{1}{10}

97 + 828

0.03

(2 mn - 4)^{3}

\frac{lo g _{10} ( 16 )}{lo g _{10} ( 4 )}

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