What is expand y^2(2-y)sin(y) ?

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

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expand y^2(2-y)sin(y)

expand

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

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

Solution steps

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

= y^{2} sin (y) (2 - y)

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

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

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

(x - 1) (2 x + 2Δ x)

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

(x - 2 + 2) (x - 2 - 2)

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

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

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