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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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

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

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

Cancel

\frac{x ^{2}}{x} : x

= x - \frac{2 x}{x} + \frac{1}{x}

Cancel

\frac{2 x}{x} : 2

= x - 2 + \frac{1}{x}

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Frequently Asked Questions (FAQ)

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