Question

How do you simplify `1 - 125tan^3s`?

Answer 1

`(1 - 125tan^3 s) = (1 - 5tan s) ( 1 + 5tan s + 25tan^2s)`

Explanation:

To simplify `1 - 125 tan^3 s`

It is in the form `a^3 - b^3`

We know `a^3 - b^3 = (a-b) * (a^2 + ab + b^2)`

Hence `(1 - 125tan^3 s) = (1 - 5tan s) ( 1 + 5tan s + 25tan^2s)`