What is expand (-e^{-x})(2-sin(2x)) ?

The solution to expand (-e^{-x})(2-sin(2x)) is -2e^{-x}+e^{-x}sin(2x)

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expand (-e^{-x})(2-sin(2x))

expand

(- e^{- x}) (2 - sin (2 x))

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

Solution steps

(- e^{- x}) (2 - sin (2 x))

Apply the distributive law:

a (b - c) = ab - a c

a = (- e^{- x}), b = 2, c = sin (2 x)

= (- e^{- x}) \cdot 2 - (- e^{- x}) sin (2 x)

= 2 (- e^{- x}) - sin (2 x) (- e^{- x})

Remove parentheses:

(- a) = - a, - (- a) = a

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

2 x (y + 1) d x

(200 - e^{2}) \cdot 100

e^{2 x} + (1 - 2 x) e^{x} + x^{2} - 1

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

y d x - 4 (x + y^{6}) d y

What is expand (-e^{-x})(2-sin(2x)) ?
The solution to expand (-e^{-x})(2-sin(2x)) is -2e^{-x}+e^{-x}sin(2x)