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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

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

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

(1 - cos (2 x))^{2}

\frac{( 6 x + 5 ) ( 3 y ^{\frac{2}{3}} )}{1 + 3 y ^{\frac{2}{3}}}

(1 + cos (x)) cos (x)

\frac{z}{( z - 2 ) ( z - 3 ) ( z - 4 )}

\frac{- 2 a + 19}{( a - 2 ) ( a + 3 )}

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