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Popular >

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

Solution

expand

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

Solution

x - 4 + \frac{4}{x}

Solution steps

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

(x - 2)^{2} = x^{2} - 4 x + 4

= \frac{x ^{2} - 4 x + 4}{x}

Apply the fraction rule:

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

\frac{x ^{2} - 4 x + 4}{x} = \frac{x ^{2}}{x} - \frac{4 x}{x} + \frac{4}{x}

= \frac{x ^{2}}{x} - \frac{4 x}{x} + \frac{4}{x}

Cancel

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

= x - \frac{4 x}{x} + \frac{4}{x}

Cancel

\frac{4 x}{x} : 4

= x - 4 + \frac{4}{x}

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Frequently Asked Questions (FAQ)

What is expand ((x-2)^2)/x ?
The solution to expand ((x-2)^2)/x is x-4+4/x