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

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

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expand x^{1/2}(x-4)

expand

x^{\frac{1}{2}} (x - 4)

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

Solution steps

x^{\frac{1}{2}} (x - 4)

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

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

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

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