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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

x^{\frac{1}{2}} x : x^{\frac{3}{2}}

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

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