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Popular >

expand ((x-1)^3+1)/x

Solution

expand

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

Solution

x^{2} - 3 x + 3

Solution steps

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

Factor

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

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

Cancel the common factor:

x

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

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

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

Simplify

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

= x^{2} - 3 x + 3

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Frequently Asked Questions (FAQ)

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