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

The solution to expand (x-pi/6)^3 is x^3-(pix^2)/2+(pi^2x)/(12)-(pi^3)/(216)

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expand (x-pi/6)^3

expand

(x - \frac{π}{6})^{3}

x^{3} - \frac{π x ^{2}}{2} + \frac{π ^{2} x}{12} - \frac{π ^{3}}{216}

Solution steps

(x - \frac{π}{6})^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

a = x, b = \frac{π}{6}

= x^{3} - 3 x^{2} \frac{π}{6} + 3 x (\frac{π}{6})^{2} - (\frac{π}{6})^{3}

Simplify

x^{3} - 3 x^{2} \frac{π}{6} + 3 x (\frac{π}{6})^{2} - (\frac{π}{6})^{3} : x^{3} - \frac{π x ^{2}}{2} + \frac{π ^{2} x}{12} - \frac{π ^{3}}{216}

= x^{3} - \frac{π x ^{2}}{2} + \frac{π ^{2} x}{12} - \frac{π ^{3}}{216}

\frac{1}{30} (e^{8 x} + 8 e^{8 x} x)

(n + 1) - \frac{( n + 1 ) ^{2}}{4 n}

x (2 x - 7 = 1)

(x - 3) e^{\frac{1}{x}}

A (- 3, 2) B (7, - 3)

What is expand (x-pi/6)^3 ?
The solution to expand (x-pi/6)^3 is x^3-(pix^2)/2+(pi^2x)/(12)-(pi^3)/(216)