Упростите (Sin x +Cos x)²+1-Sin 2x

(sinx + cosx)^2 + 1 - sin2x =  = sin^2x + 2sinxcosx + cos^2x + 1 - sin2x =  = sin^2x + sin2x + cos^2x + 1 - sin2x = = 1 + sin2x + 1 - sin2x =   = 1 + 1 =  = 2