What is 2xcos(y)(x^2sin(x)) ?

The solution to 2xcos(y)(x^2sin(x)) is 2x^3sin(x)cos(y)

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simplify 2xcos(y)(x^2sin(x))

simplify

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

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

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x x^{2} = x^{1 + 2}

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

Add the numbers:

1 + 2 = 3

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

(7 y^{5}) (6 y)

3 x^{2} (3 x^{2})

9^{1}

- e^{- 1} (- 1)

1 0^{- 11}

What is 2xcos(y)(x^2sin(x)) ?
The solution to 2xcos(y)(x^2sin(x)) is 2x^3sin(x)cos(y)