What is expand (5(2a+b))/(3b) ?

The solution to expand (5(2a+b))/(3b) is (10a)/(3b)+5/3

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expand (5(2a+b))/(3b)

expand

\frac{5 ( 2 a + b )}{3 b}

\frac{10 a}{3 b} + \frac{5}{3}

Solution steps

\frac{5 ( 2 a + b )}{3 b}

Expand

5 (2 a + b) : 10 a + 5 b

= \frac{10 a + 5 b}{3 b}

Apply the fraction rule:

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

\frac{10 a + 5 b}{3 b} = \frac{10 a}{3 b} + \frac{5 b}{3 b}

= \frac{10 a}{3 b} + \frac{5 b}{3 b}

Cancel

\frac{5 b}{3 b} : \frac{5}{3}

= \frac{10 a}{3 b} + \frac{5}{3}

\frac{1}{( x - 2 ) ( a - b )}

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

14 x 2 - 38 x - 72

5 (y + x \frac{d y}{d x})

\frac{h ( 2 + h )}{1 + h}

What is expand (5(2a+b))/(3b) ?
The solution to expand (5(2a+b))/(3b) is (10a)/(3b)+5/3