What is pi/6-((pi/6)^3)/6 ?

The solution to pi/6-((pi/6)^3)/6 is (216pi-pi^3)/(1296)

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simplify pi/6-((pi/6)^3)/6

simplify

\frac{π}{6} - \frac{( \frac{π}{6} ) ^{3}}{6}

\frac{216 π - π ^{3}}{1296}

Decimal Notation

0.49967 \dots

Solution steps

\frac{π}{6} - \frac{( \frac{π}{6} ) ^{3}}{6}

Apply rule

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

= \frac{π - ( \frac{π}{6} ) ^{3}}{6}

(\frac{π}{6})^{3} = \frac{π ^{3}}{216}

= \frac{π - \frac{π ^{3}}{216}}{6}

Join

π - \frac{π ^{3}}{216} : \frac{216 π - π ^{3}}{216}

= \frac{\frac{216 π - π ^{3}}{216}}{6}

Apply the fraction rule:

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

= \frac{π 216 - π ^{3}}{216 \cdot 6}

Multiply the numbers:

216 \cdot 6 = 1296

= \frac{216 π - π ^{3}}{1296}

(x + 5) (x + 3) = x + 5

a^{3} + n^{3}

\frac{x - 4}{5} \leq 2

49 x^{2} - 25

\frac{1}{3} (3)^{0}

What is pi/6-((pi/6)^3)/6 ?
The solution to pi/6-((pi/6)^3)/6 is (216pi-pi^3)/(1296)