What is expand-2x(x^2ycos(x^2y)+sin(x^2y)) ?

The solution to expand-2x(x^2ycos(x^2y)+sin(x^2y)) is -2x^3ycos(x^2y)-2xsin(x^2y)

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expand-2x(x^2ycos(x^2y)+sin(x^2y))

expand

- 2 x (x^{2} y cos (x^{2} y) + sin (x^{2} y))

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

Solution steps

- 2 x (x^{2} y cos (x^{2} y) + sin (x^{2} y))

Apply the distributive law:

a (b + c) = ab + a c

- 2 x (x^{2} y cos (x^{2} y) + sin (x^{2} y)) = - 2 x x^{2} y cos (x^{2} y) - 2 x sin (x^{2} y)

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

Simplify

- 2 x x^{2} y cos (x^{2} y) : - 2 x^{3} y cos (x^{2} y)

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

\frac{7 x ^{2} - 23 x + 26}{( x + 2 ) ( x - 3 ) ^{2}}

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cos (k x - wt) + cos ((k + d k) x - (w + d w) t)

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What is expand-2x(x^2ycos(x^2y)+sin(x^2y)) ?
The solution to expand-2x(x^2ycos(x^2y)+sin(x^2y)) is -2x^3ycos(x^2y)-2xsin(x^2y)