Prove
(sinx + cosx)^4 = sin^2 2x + 2sin 2x + 1
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((sin x +cos x)^2 )^2
=( 1+sin 2x)^2
=1+sin^2 2x + 2sin 2x
=( 1+sin 2x)^2
=1+sin^2 2x + 2sin 2x
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