What is expand ((y+18)^2)/(72y) ?

The solution to expand ((y+18)^2)/(72y) is y/(72)+1/2+9/(2y)

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expand ((y+18)^2)/(72y)

expand

\frac{( y + 18 ) ^{2}}{72 y}

\frac{y}{72} + \frac{1}{2} + \frac{9}{2 y}

Solution steps

\frac{( y + 18 ) ^{2}}{72 y}

(y + 18)^{2} = y^{2} + 36 y + 324

= \frac{y ^{2} + 36 y + 324}{72 y}

Apply the fraction rule:

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

\frac{y ^{2} + 36 y + 324}{72 y} = \frac{y ^{2}}{72 y} + \frac{36 y}{72 y} + \frac{324}{72 y}

= \frac{y ^{2}}{72 y} + \frac{36 y}{72 y} + \frac{324}{72 y}

Cancel

\frac{y ^{2}}{72 y} : \frac{y}{72}

= \frac{y}{72} + \frac{36 y}{72 y} + \frac{324}{72 y}

Cancel

\frac{36 y}{72 y} : \frac{1}{2}

= \frac{y}{72} + \frac{1}{2} + \frac{324}{72 y}

Cancel

\frac{324}{72 y} : \frac{9}{2 y}

= \frac{y}{72} + \frac{1}{2} + \frac{9}{2 y}

(- e^{- x} (x + c) + e^{- x}) + y

\frac{( - z - 1 ) ^{2} z ^{2}}{4}

5 (e - 4)

\frac{\partial}{\partial x} ((z) (x sin (x y) - z))

(\frac{2 x ^{4}}{3 x})^{3}

What is expand ((y+18)^2)/(72y) ?
The solution to expand ((y+18)^2)/(72y) is y/(72)+1/2+9/(2y)