What is expand (2x^{5/3}+3)^2 ?

The solution to expand (2x^{5/3}+3)^2 is 4x^{10/3}+12x^{5/3}+9

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expand (2x^{5/3}+3)^2

expand

(2 x^{\frac{5}{3}} + 3)^{2}

4 x^{\frac{10}{3}} + 12 x^{\frac{5}{3}} + 9

Solution steps

(2 x^{\frac{5}{3}} + 3)^{2}

Apply Perfect Square Formula:

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

(2 x^{\frac{5}{3}} + 3)^{2} = (2 x^{\frac{5}{3}})^{2} + 2 \cdot 2 x^{\frac{5}{3}} \cdot 3 + 3^{2}

= (2 x^{\frac{5}{3}})^{2} + 2 \cdot 2 x^{\frac{5}{3}} \cdot 3 + 3^{2}

(2 x^{\frac{5}{3}})^{2} = 4 x^{\frac{10}{3}}

2 \cdot 2 x^{\frac{5}{3}} \cdot 3 = 12 x^{\frac{5}{3}}

3^{2} = 9

= 4 x^{\frac{10}{3}} + 12 x^{\frac{5}{3}} + 9

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What is expand (2x^{5/3}+3)^2 ?
The solution to expand (2x^{5/3}+3)^2 is 4x^{10/3}+12x^{5/3}+9