27. sing⁸ A - cos⁸ A=(sin² A - cos² A) (1 - 2 sin² A cos² A).
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LHS = sin⁸ A-cos⁸ A = [(sin⁴ A +cos⁴ A)*(sin⁴ A - cos⁴ A)]
= [(sin⁴ A +cos⁴ A)*{(sin² A + cos² A)*(sin² A - cos² A)]
= [(sin⁴ A +cos⁴ A)* (sin² A - cos² A)]
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