Question

How do you simplify `2sin x cos x - 4sin^3 x cos x`?

Answer 1

Simplify: `2sin x.cos x - 4sin^3 x.cos x`

Explanation:

Put 2sin x.cos x in common factor:

`2sin x.cos x(1 - 2sin^2 x) = sin 2x(cos 2x)`

Reminder: `cos 2x = 1 - 2sin^2 x`