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Prove that sin^8 x−cos^8 x=(sin^2 x−cos^2 x)(1−2sin^2 xcos^2 x)

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Prove that
sin8x−cos8x=(sin2x−cos2x)(1−2sin2xcos2x)
sin8x−cos8x=(sin2x−cos2x)(1−2sin2xcos2x)
Prove that sin^8 x−cos^8 x=(sin^2 x−cos^2 x)(1−2sin^2 xcos^2 x)
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