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Popular >

expand ((y+z)^2-4)/y

Solution

expand

\frac{( y + z ) ^{2} - 4}{y}

Solution

y + 2 z + \frac{z ^{2}}{y} - \frac{4}{y}

Solution steps

\frac{( y + z ) ^{2} - 4}{y}

Expand

(y + z)^{2} - 4 : y^{2} + 2 yz + z^{2} - 4

= \frac{y ^{2} + 2 yz + z ^{2} - 4}{y}

Apply the fraction rule:

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

\frac{y ^{2} + 2 yz + z ^{2} - 4}{y} = \frac{y ^{2}}{y} + \frac{2 yz}{y} + \frac{z ^{2}}{y} - \frac{4}{y}

= \frac{y ^{2}}{y} + \frac{2 yz}{y} + \frac{z ^{2}}{y} - \frac{4}{y}

Cancel

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

= y + \frac{2 yz}{y} + \frac{z ^{2}}{y} - \frac{4}{y}

Cancel

\frac{2 yz}{y} : 2 z

= y + 2 z + \frac{z ^{2}}{y} - \frac{4}{y}

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Frequently Asked Questions (FAQ)

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