What is expand ((45a^2-b))/((30ab)) ?

The solution to expand ((45a^2-b))/((30ab)) is (3a)/(2b)-1/(30a)

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expand ((45a^2-b))/((30ab))

expand

\frac{( 45 a ^{2} - b )}{( 30 ab )}

\frac{3 a}{2 b} - \frac{1}{30 a}

Solution steps

\frac{45 a ^{2} - b}{30 ab}

Apply the fraction rule:

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

\frac{45 a ^{2} - b}{30 ab} = \frac{45 a ^{2}}{30 ab} - \frac{b}{30 ab}

= \frac{45 a ^{2}}{30 ab} - \frac{b}{30 ab}

Cancel

\frac{45 a ^{2}}{30 ab} : \frac{3 a}{2 b}

= \frac{3 a}{2 b} - \frac{b}{30 ab}

Cancel

\frac{b}{30 ab} : \frac{1}{30 a}

= \frac{3 a}{2 b} - \frac{1}{30 a}

(x - \frac{1}{3 x ^{2}})^{10}

\frac{18 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

(x - 3) (x - 3)

- sin (x + y) (1 + \frac{d y}{d x})

What is expand ((45a^2-b))/((30ab)) ?
The solution to expand ((45a^2-b))/((30ab)) is (3a)/(2b)-1/(30a)