What is expand x^{3/2}(4-4x) ?

The solution to expand x^{3/2}(4-4x) is x^{3/2}*4-4x^{5/2}

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expand x^{3/2}(4-4x)

expand

x^{\frac{3}{2}} (4 - 4 x)

x^{\frac{3}{2}} \cdot 4 - 4 x^{\frac{5}{2}}

Solution steps

x^{\frac{3}{2}} (4 - 4 x)

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

x^{\frac{3}{2}} \cdot 4 x : 4 x^{\frac{5}{2}}

= x^{\frac{3}{2}} \cdot 4 - 4 x^{\frac{5}{2}}

0 \cdot (1 - a)^{2}

\frac{d}{d t} ((x (t, s)) (s + t))

\frac{4}{( x - 1 ) ( x - 3 ) ( x - 4 )}

\frac{e ^{- s}}{( s + 4 ) ( s - 2 ) ( s - 1 )}

What is expand x^{3/2}(4-4x) ?
The solution to expand x^{3/2}(4-4x) is x^{3/2}*4-4x^{5/2}