What is expand (2(pi^3+3pi^2))/(3pi) ?

The solution to expand (2(pi^3+3pi^2))/(3pi) is (2pi^2)/3+2pi

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expand (2(pi^3+3pi^2))/(3pi)

expand

\frac{2 ( π ^{3} + 3 π ^{2} )}{3 π}

\frac{2 π ^{2}}{3} + 2 π

Decimal Notation

12.86292 \dots

Solution steps

\frac{2 ( π ^{3} + 3 π ^{2} )}{3 π}

Expand

2 (π^{3} + 3 π^{2}) : 2 π^{3} + 6 π^{2}

= \frac{2 π ^{3} + 6 π ^{2}}{3 π}

Apply the fraction rule:

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

\frac{2 π ^{3} + 6 π ^{2}}{3 π} = \frac{2 π ^{3}}{3 π} + \frac{6 π ^{2}}{3 π}

= \frac{2 π ^{3}}{3 π} + \frac{6 π ^{2}}{3 π}

Cancel

\frac{2 π ^{3}}{3 π} : \frac{2 π ^{2}}{3}

= \frac{2 π ^{2}}{3} + \frac{6 π ^{2}}{3 π}

Cancel

\frac{6 π ^{2}}{3 π} : 2 π

= \frac{2 π ^{2}}{3} + 2 π

\frac{x - 1}{( x + 3 ) ( x - 6 )}

\frac{y x ^{2} - a}{( x + 2 y ) x ^{2}}

- \frac{2 ( - 3 x ^{2} - 5 )}{( - 5 + x ^{2} ) ^{3}}

(2 - cos (θ))^{2}

15 (- \frac{1}{2 t ^{2}} + \frac{1}{2})

What is expand (2(pi^3+3pi^2))/(3pi) ?
The solution to expand (2(pi^3+3pi^2))/(3pi) is (2pi^2)/3+2pi