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

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

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simplify (x^3-2x^2+1)/(x-1)

simplify

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

x^{2} - x - 1

Solution steps

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

Factor

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

= \frac{( x - 1 ) ( x ^{2} - x - 1 )}{x - 1}

Cancel the common factor:

x - 1

= x^{2} - x - 1

4 \times \frac{2}{3}

(x - 7) (x - 2)

2 (- 2 - 4 p) + 2 (- 2 p - 1)

5 \frac{3}{5}

- x^{2} - 4 x