What is expand cos(x^2+2)*2x(x^2+2) ?

The solution to expand cos(x^2+2)*2x(x^2+2) is 2x^3cos(x^2+2)+4xcos(x^2+2)

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expand cos(x^2+2)*2x(x^2+2)

expand

cos (x^{2} + 2) \cdot 2 x (x^{2} + 2)

2 x^{3} cos (x^{2} + 2) + 4 x cos (x^{2} + 2)

Solution steps

cos (x^{2} + 2) \cdot 2 x (x^{2} + 2)

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

Apply the distributive law:

a (b + c) = ab + a c

2 x cos (x^{2} + 2) (x^{2} + 2) = 2 x cos (x^{2} + 2) x^{2} + 2 x cos (x^{2} + 2) \cdot 2

= 2 x cos (x^{2} + 2) x^{2} + 2 x cos (x^{2} + 2) \cdot 2

Simplify

2 x cos (x^{2} + 2) x^{2} + 2 x cos (x^{2} + 2) \cdot 2 : 2 x^{3} cos (x^{2} + 2) + 4 x cos (x^{2} + 2)

= 2 x^{3} cos (x^{2} + 2) + 4 x cos (x^{2} + 2)

(5 cos (θ) - 3 sin (x))^{2}

6 (\frac{x ^{3}}{3} + 2 x^{2} + 4 x)

(2 e^{4 t} - 5)^{2}

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

(1 + y^{3}) d x + x y^{2} d y

What is expand cos(x^2+2)*2x(x^2+2) ?
The solution to expand cos(x^2+2)*2x(x^2+2) is 2x^3cos(x^2+2)+4xcos(x^2+2)