Trig
posted by Anonymous .
simplify the expression to a single term:
(12Sin^2 X)^2 + 4sin^2 X Cos^2 X
I'm not sure how to start this or which identities to use. Any suggestions?

(12Sin^2 X)^2 + 4sin^2 X Cos^2 X
(sin^2 x + cos^2 x  2sin^2 x)^2 + (2sinxcosx)^2
= (cos^2x  sin^2x)^2 + (sin 2x)^2
= (cos 2x)^2 + (sin 2x)^2
= 1