What is expand ((6-y)(6y-1))/(6y) ?

The solution to expand ((6-y)(6y-1))/(6y) is -y+37/6-1/y

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expand ((6-y)(6y-1))/(6y)

expand

\frac{( 6 - y ) ( 6 y - 1 )}{6 y}

- y + \frac{37}{6} - \frac{1}{y}

Solution steps

\frac{( 6 - y ) ( 6 y - 1 )}{6 y}

Expand

(6 - y) (6 y - 1) : - 6 y^{2} + 37 y - 6

= \frac{- 6 y ^{2} + 37 y - 6}{6 y}

Apply the fraction rule:

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

\frac{- 6 y ^{2} + 37 y - 6}{6 y} = - \frac{6 y ^{2}}{6 y} + \frac{37 y}{6 y} - \frac{6}{6 y}

= - \frac{6 y ^{2}}{6 y} + \frac{37 y}{6 y} - \frac{6}{6 y}

Cancel

\frac{6 y ^{2}}{6 y} : y

= - y + \frac{37 y}{6 y} - \frac{6}{6 y}

Cancel

\frac{37 y}{6 y} : \frac{37}{6}

= - y + \frac{37}{6} - \frac{6}{6 y}

Divide the numbers:

\frac{6}{6} = 1

= - y + \frac{37}{6} - \frac{1}{y}

\frac{9}{( 3 x ^{2} + 8 ) ^{2}}

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\frac{2 x ^{4}}{( 1 - x ^{3} ) ^{2}}

\frac{2 s + 9}{s ( s ^{2} + 4 s + 18 )}

\frac{( b + 1 ) ( b - 1 )}{b}

What is expand ((6-y)(6y-1))/(6y) ?
The solution to expand ((6-y)(6y-1))/(6y) is -y+37/6-1/y