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Popular >

expand (u-1)u^{1/2}

Solution

expand

(u - 1) u^{\frac{1}{2}}

Solution

u^{\frac{3}{2}} - u^{\frac{1}{2}}

Solution steps

(u - 1) u^{\frac{1}{2}}

= u^{\frac{1}{2}} (u - 1)

Apply the distributive law:

a (b - c) = ab - a c

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

= u^{\frac{1}{2}} u - u^{\frac{1}{2}} \cdot 1

u^{\frac{1}{2}} u = u^{\frac{3}{2}}

u^{\frac{1}{2}} \cdot 1 = u^{\frac{1}{2}}

= u^{\frac{3}{2}} - u^{\frac{1}{2}}

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Frequently Asked Questions (FAQ)

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