Prove that 3(sin x - cos x)^4+4(sin^6x + cos^6x) + 6(sin x + cos x)^2= 13
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Hint : Use the trignometric identitiy "sin x^2 + cos x^2 = 1" and a^3 + b^3 = (a+b)(a^2 + b^2 + ab) formula.
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