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

The solution to expand (4x^{2/3}+1)^2 is 16x^{4/3}+8x^{2/3}+1

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expand (4x^{2/3}+1)^2

expand

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

16 x^{\frac{4}{3}} + 8 x^{\frac{2}{3}} + 1

Solution steps

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

Apply Perfect Square Formula:

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

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

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

(4 x^{\frac{2}{3}})^{2} = 16 x^{\frac{4}{3}}

2 \cdot 4 x^{\frac{2}{3}} \cdot 1 = 8 x^{\frac{2}{3}}

1^{2} = 1

= 16 x^{\frac{4}{3}} + 8 x^{\frac{2}{3}} + 1

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What is expand (4x^{2/3}+1)^2 ?
The solution to expand (4x^{2/3}+1)^2 is 16x^{4/3}+8x^{2/3}+1