What is expand [arctan(x)]left(402x-1) ?

The solution to expand [arctan(x)]left(402x-1) is 402elxftarctan(x)-elftarctan(x)

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expand [arctan(x)]left(402x-1)

expand

[arctan (x)] l e f t (402 x - 1)

402 e l x f t arctan (x) - e l f t arctan (x)

Solution steps

[arctan (x)] l e f t (402 x - 1)

= e l f t [arctan (x)] (402 x - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = [arctan (x)] l e f t, b = 402 x, c = 1

= [arctan (x)] l e f t \cdot 402 x - [arctan (x)] l e f t \cdot 1

= 402 e l x f t [arctan (x)] - 1 e l f t [arctan (x)]

Simplify

402 e l x f t [arctan (x)] - 1 e l f t [arctan (x)] : 402 e l x f t arctan (x) - e l f t arctan (x)

= 402 e l x f t arctan (x) - e l f t arctan (x)

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What is expand [arctan(x)]left(402x-1) ?
The solution to expand [arctan(x)]left(402x-1) is 402elxftarctan(x)-elftarctan(x)