What is expand arctan(x)(-x+tan(x)) ?

The solution to expand arctan(x)(-x+tan(x)) is -xarctan(x)+arctan(x)tan(x)

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expand arctan(x)(-x+tan(x))

expand

arctan (x) (- x + tan (x))

- x arctan (x) + arctan (x) tan (x)

Solution steps

arctan (x) (- x + tan (x))

Apply the distributive law:

a (b + c) = ab + a c

arctan (x) (- x + tan (x)) = arctan (x) (- x) + arctan (x) tan (x)

= arctan (x) (- x) + arctan (x) tan (x)

Simplify

arctan (x) (- x) : - x arctan (x)

= - x arctan (x) + arctan (x) tan (x)

i e^{(- 2 + i 100) t}

(\frac{3 x - 3}{2}) \cdot (\frac{x - 1}{3})

e^{x} sin (3 x) - e^{x} cos (3 x) (D^{2} - 2 D + 10)

, (- 3 + 8 i) (6 + 2 i)

7 (- 9 - 715)

What is expand arctan(x)(-x+tan(x)) ?
The solution to expand arctan(x)(-x+tan(x)) is -xarctan(x)+arctan(x)tan(x)