What is expand (x-pi/4)^3 ?

The solution to expand (x-pi/4)^3 is x^3-(3pix^2)/4+(3pi^2x)/(16)-(pi^3)/(64)

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expand (x-pi/4)^3

expand

(x - \frac{π}{4})^{3}

x^{3} - \frac{3 π x ^{2}}{4} + \frac{3 π ^{2} x}{16} - \frac{π ^{3}}{64}

Solution steps

(x - \frac{π}{4})^{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}{4}

= x^{3} - 3 x^{2} \frac{π}{4} + 3 x (\frac{π}{4})^{2} - (\frac{π}{4})^{3}

Simplify

x^{3} - 3 x^{2} \frac{π}{4} + 3 x (\frac{π}{4})^{2} - (\frac{π}{4})^{3} : x^{3} - \frac{3 π x ^{2}}{4} + \frac{3 π ^{2} x}{16} - \frac{π ^{3}}{64}

= x^{3} - \frac{3 π x ^{2}}{4} + \frac{3 π ^{2} x}{16} - \frac{π ^{3}}{64}

A (- 3, 12) B (- 11, - 16)

\frac{3 x + 4}{x ( 2 x + 1 ) ^{2}}

(1 + 2 x + 3 x^{2})^{6}

- \frac{( p ( x + y ) - n )}{p ( 1 - p )}

- \frac{x ( - x + 3 ) ^{3}}{27}

What is expand (x-pi/4)^3 ?
The solution to expand (x-pi/4)^3 is x^3-(3pix^2)/4+(3pi^2x)/(16)-(pi^3)/(64)