What is expand ((h+4)(h+7))/h ?

The solution to expand ((h+4)(h+7))/h is h+11+(28)/h

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expand ((h+4)(h+7))/h

expand

\frac{( h + 4 ) ( h + 7 )}{h}

h + 11 + \frac{28}{h}

Solution steps

\frac{( h + 4 ) ( h + 7 )}{h}

Expand

(h + 4) (h + 7) : h^{2} + 11 h + 28

= \frac{h ^{2} + 11 h + 28}{h}

Apply the fraction rule:

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

\frac{h ^{2} + 11 h + 28}{h} = \frac{h ^{2}}{h} + \frac{11 h}{h} + \frac{28}{h}

= \frac{h ^{2}}{h} + \frac{11 h}{h} + \frac{28}{h}

Cancel

\frac{h ^{2}}{h} : h

= h + \frac{11 h}{h} + \frac{28}{h}

Cancel

\frac{11 h}{h} : 11

= h + 11 + \frac{28}{h}

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What is expand ((h+4)(h+7))/h ?
The solution to expand ((h+4)(h+7))/h is h+11+(28)/h