What is expand sin^2(u)*(2-sin(u)) ?

The solution to expand sin^2(u)*(2-sin(u)) is 2sin^2(u)-sin^3(u)

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expand sin^2(u)*(2-sin(u))

expand

sin^{2} (u) \cdot (2 - sin (u))

2 sin^{2} (u) - sin^{3} (u)

Solution steps

sin^{2} (u) (2 - sin (u))

Apply the distributive law:

a (b - c) = ab - a c

sin^{2} (u) (2 - sin (u)) = sin^{2} (u) \cdot 2 - sin^{2} (u) sin (u)

= sin^{2} (u) \cdot 2 - sin^{2} (u) sin (u)

Simplify

sin^{2} (u) \cdot 2 - sin^{2} (u) sin (u) : 2 sin^{2} (u) - sin^{3} (u)

= 2 sin^{2} (u) - sin^{3} (u)

\frac{1}{( s + 2 ) ( s - 2 )}

(x + \frac{1}{x})^{\frac{7}{2}}

\frac{( x - 4 ) ( x - 7 )}{2 x ^{2} ( x - 8 )}

\frac{2 ( 2 v ^{3} - 11 v ^{2} + 22 v - 15 )}{2 x - 3}

\frac{( s + 1 )}{( ( s ^{2} - 4 s ) ( s + 5 ) )}

What is expand sin^2(u)*(2-sin(u)) ?
The solution to expand sin^2(u)*(2-sin(u)) is 2sin^2(u)-sin^3(u)