What is expand x^2*sin(us)(x+y^2) ?

The solution to expand x^2*sin(us)(x+y^2) is x^3sin(us)+x^2y^2sin(us)

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expand x^2*sin(us)(x+y^2)

expand

x^{2} \cdot sin (u s) (x + y^{2})

x^{3} sin (u s) + x^{2} y^{2} sin (u s)

Solution steps

x^{2} sin (u s) (x + y^{2})

Apply the distributive law:

a (b + c) = ab + a c

x^{2} sin (u s) (x + y^{2}) = x^{2} sin (u s) x + x^{2} sin (u s) y^{2}

= x^{2} sin (u s) x + x^{2} sin (u s) y^{2}

Simplify

x^{2} sin (u s) x + x^{2} sin (u s) y^{2} : x^{3} sin (u s) + x^{2} y^{2} sin (u s)

= x^{3} sin (u s) + x^{2} y^{2} sin (u s)

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

, f (x - 6)

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

\frac{d ^{2}}{d x ^{2}} ((y (x, C)) (C e^{- x} + C e^{2 x}))

\frac{( - 1 ) ^{n} n !}{6 ^{n} ( n + 2 )}

What is expand x^2*sin(us)(x+y^2) ?
The solution to expand x^2*sin(us)(x+y^2) is x^3sin(us)+x^2y^2sin(us)