What is expand (a^{3/2}+b^{3/2})^2 ?

The solution to expand (a^{3/2}+b^{3/2})^2 is a^3+2a^{3/2}b^{3/2}+b^3

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expand (a^{3/2}+b^{3/2})^2

expand

(a^{\frac{3}{2}} + b^{\frac{3}{2}})^{2}

a^{3} + 2 a^{\frac{3}{2}} b^{\frac{3}{2}} + b^{3}

Solution steps

(a^{\frac{3}{2}} + b^{\frac{3}{2}})^{2}

Apply Perfect Square Formula:

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

(a^{\frac{3}{2}} + b^{\frac{3}{2}})^{2} = (a^{\frac{3}{2}})^{2} + 2 a^{\frac{3}{2}} b^{\frac{3}{2}} + (b^{\frac{3}{2}})^{2}

= (a^{\frac{3}{2}})^{2} + 2 a^{\frac{3}{2}} b^{\frac{3}{2}} + (b^{\frac{3}{2}})^{2}

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

(b^{\frac{3}{2}})^{2} = b^{3}

= a^{3} + 2 a^{\frac{3}{2}} b^{\frac{3}{2}} + b^{3}

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What is expand (a^{3/2}+b^{3/2})^2 ?
The solution to expand (a^{3/2}+b^{3/2})^2 is a^3+2a^{3/2}b^{3/2}+b^3