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

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

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

simplify

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

x^{2} + 1

Solution steps

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

Factor

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

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

Cancel the common factor:

x - 1

= x^{2} + 1

(2 x + 3)^{9}

3 x^{3} - 27

3 x^{3} - 6 x

(\frac{3}{2} x)^{2}

s^{2} + 8 s + 15

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