What is expand (x^{2/3}-1)^2 ?

The solution to expand (x^{2/3}-1)^2 is x^{4/3}-2x^{2/3}+1

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expand (x^{2/3}-1)^2

expand

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

x^{\frac{4}{3}} - 2 x^{\frac{2}{3}} + 1

Solution steps

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

Apply Perfect Square Formula:

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

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

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

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

2 x^{\frac{2}{3}} \cdot 1 = 2 x^{\frac{2}{3}}

1^{2} = 1

= x^{\frac{4}{3}} - 2 x^{\frac{2}{3}} + 1

cot (x) + cos (x) (tan (x) - tan (\frac{x}{2}))

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(x y^{2} - 4 x^{2} y^{3} + 5 x^{3} y + 4 x^{2}) l e f t (- 2 x^{3} y)

(1 + cos (θ)) \cdot cos (θ)

(\frac{1}{4} + \frac{2 x}{7}) (\frac{1}{4} - \frac{2 x}{7})

What is expand (x^{2/3}-1)^2 ?
The solution to expand (x^{2/3}-1)^2 is x^{4/3}-2x^{2/3}+1