sin⁴A - cos⁴A = 2sin²A - 1
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2Sin²A-1. Bringing -1 from RHS to LHS, we get LHS as. Solving LHS. =Sin⁴A-Cos⁴A+1 . = (sin²A)²-(cos²A)²+1. Using Identity a²-b²= (a-b)(a+b).
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hope it helps in solving the question
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