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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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Prove that Sin^8(x)-Cos^8(x) =(Sin^2(x)-Cos^2(x))(1-2Sin^2(x)Cos^2(x))
prove that `sin^8x-cos^8x=(sin^2x-cos^2x)(1-2sin^2xcos^2x)`
Prove that sin^8 x−cos^8 x=(sin^2 x−cos^2 x)(1−2sin^2 xcos^2 x)
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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