What is expand (x-a^{1/3})^3 ?

The solution to expand (x-a^{1/3})^3 is x^3-3x^2a^{1/3}+3xa^{2/3}-a

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expand (x-a^{1/3})^3

expand

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

x^{3} - 3 x^{2} a^{\frac{1}{3}} + 3 x a^{\frac{2}{3}} - a

Solution steps

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

Apply Perfect Cube Formula:

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

(x - a^{\frac{1}{3}})^{3} = x^{3} - 3 x^{2} a^{\frac{1}{3}} + 3 x (a^{\frac{1}{3}})^{2} - (a^{\frac{1}{3}})^{3}

= x^{3} - 3 x^{2} a^{\frac{1}{3}} + 3 x (a^{\frac{1}{3}})^{2} - (a^{\frac{1}{3}})^{3}

(a^{\frac{1}{3}})^{2} = a^{\frac{2}{3}}

(a^{\frac{1}{3}})^{3} = a

= x^{3} - 3 x^{2} a^{\frac{1}{3}} + 3 x a^{\frac{2}{3}} - a

(4 - \frac{1}{x})^{2}

\frac{720}{( 3 - 1 ) ^{7}} + sin (3 - 1)

\frac{6}{2}

3 (6 y ln (y) + y^{5})

β (3 x + 1, y)

What is expand (x-a^{1/3})^3 ?
The solution to expand (x-a^{1/3})^3 is x^3-3x^2a^{1/3}+3xa^{2/3}-a