verify cos^4+sin^4=1-2cos^2•sin^2
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See Below. Explanation: LHS: sin4x−cos4x=(sin2x−cos2x)(sin2x+cos2x) ->factor. =(sin2x− cos2x)⋅1. =(1−cos2x)−cos2x ->use the property sin2x+cos2x=1. =1−2cos2x. =RHS.
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