What is expand (a^2-6a+4)/(2a) ?

The solution to expand (a^2-6a+4)/(2a) is a/2-3+2/a

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expand (a^2-6a+4)/(2a)

expand

\frac{a ^{2} - 6 a + 4}{2 a}

\frac{a}{2} - 3 + \frac{2}{a}

Solution steps

\frac{a ^{2} - 6 a + 4}{2 a}

Apply the fraction rule:

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

\frac{a ^{2} - 6 a + 4}{2 a} = \frac{a ^{2}}{2 a} - \frac{6 a}{2 a} + \frac{4}{2 a}

= \frac{a ^{2}}{2 a} - \frac{6 a}{2 a} + \frac{4}{2 a}

Cancel

\frac{a ^{2}}{2 a} : \frac{a}{2}

= \frac{a}{2} - \frac{6 a}{2 a} + \frac{4}{2 a}

Cancel

\frac{6 a}{2 a} : 3

= \frac{a}{2} - 3 + \frac{4}{2 a}

Divide the numbers:

\frac{4}{2} = 2

= \frac{a}{2} - 3 + \frac{2}{a}

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What is expand (a^2-6a+4)/(2a) ?
The solution to expand (a^2-6a+4)/(2a) is a/2-3+2/a