Prove that Sin^8(x)-Cos^8(x) =(Sin^2(x)-Cos^2(x))(1-2Sin^2(x)Cos^2(x))

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Prove that Sin^8(x)-Cos^8(x) =(Sin^2(x)-Cos^2(x))(1-2Sin^2(x)Cos^2(x))
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Which class questions is this can anyone tell because this question has came to my board exam of 2019 cbse

dilipkumarroy
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how is sin^4x+2sin^2x cos^2x+cos^4x) is a perfect square?

jhalakvatsyayan