Question

how to factor tan^4x+2tan^2x+1

Answer 1

let u = tan^2 x then you get u^2 + 2u + 1. can you factor that?

Answer 2

so (X+1)(X+1)

Answer 3

\[(\tan ^2 x + 1)^2\]

Answer 4

so it can be simplified to sec^4x right?

Answer 5

yep