SOLUTION: Factor and simplify using fundamental identities: tan^4x+2tan^2x+1

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Question 105525: Factor and simplify using fundamental identities:
tan^4x+2tan^2x+1
Answer by HyperBrain(694)   (Show Source): You can put this solution on YOUR website!
Let

Then,


Please read my lesson,"Factoring trinomials: SHORTCUT!!!"

By the quadratic formula,






Thus,


So, this means that the equation is a perfect square trinomial and that:



Power up,
HyperBrain!
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