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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Cancel

\frac{y ^{2}}{y} : y

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

Cancel

\frac{2 y}{y} : 2

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

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Frequently Asked Questions (FAQ)

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