What is expand (x^2+1)*sin(x) ?

The solution to expand (x^2+1)*sin(x) is x^2sin(x)+sin(x)

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expand (x^2+1)*sin(x)

expand

(x^{2} + 1) \cdot sin (x)

x^{2} sin (x) + sin (x)

Solution steps

(x^{2} + 1) sin (x)

= sin (x) (x^{2} + 1)

Apply the distributive law:

a (b + c) = ab + a c

sin (x) (x^{2} + 1) = sin (x) x^{2} + sin (x) \cdot 1

= sin (x) x^{2} + sin (x) \cdot 1

Simplify

sin (x) x^{2} + sin (x) \cdot 1 : x^{2} sin (x) + sin (x)

= x^{2} sin (x) + sin (x)

\frac{e ^{t} an x - e ^{s} in x}{( tan ^{2} ( x ) ) ^{3}}

3 x + 8 x^{5} - x + 9 x^{2} - 6 x^{2}

4 (m^{- 1} n)

x^{2} + 13 x y - 30 y^{2}

a^{2} - 5 a - 14 i

What is expand (x^2+1)*sin(x) ?
The solution to expand (x^2+1)*sin(x) is x^2sin(x)+sin(x)