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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

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

2 x^{\frac{1}{3}} \cdot 2 = 4 x^{\frac{1}{3}}

2^{2} = 4

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

(x + y - z = 7,) (- x + 3 y - 3 z = 1, 8) (- z - 3 y - 3 z = 11)

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(y - 2)^{2} - e

(3 x - 7) (6 x - 2)

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