What is expand (pit(3+2n))/6 ?

The solution to expand (pit(3+2n))/6 is (pit)/2+(pint)/3

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expand (pit(3+2n))/6

expand

\frac{π t ( 3 + 2 n )}{6}

\frac{π t}{2} + \frac{πn t}{3}

Solution steps

\frac{π t ( 3 + 2 n )}{6}

Expand

π t (3 + 2 n) : 3 π t + 2 πn t

= \frac{3 π t + 2 πn t}{6}

Apply the fraction rule:

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

\frac{3 π t + 2 πn t}{6} = \frac{3 π t}{6} + \frac{2 πn t}{6}

= \frac{3 π t}{6} + \frac{2 πn t}{6}

Cancel

\frac{3 π t}{6} : \frac{π t}{2}

= \frac{π t}{2} + \frac{2 πn t}{6}

Cancel

\frac{2 πn t}{6} : \frac{πn t}{3}

= \frac{π t}{2} + \frac{πn t}{3}

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What is expand (pit(3+2n))/6 ?
The solution to expand (pit(3+2n))/6 is (pit)/2+(pint)/3