Without an equality sign it's not an equation but it can be simplified to: 7x-5
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sin^5 2x = 1/8 sin2x (cos(8x) - 4 cos(4x)+3)
The best way to answer this question is with the angle addition formulas. Sin(a + b) = sin(a)cos(b) + cos(a)sin(b) and cos(a + b) = cos(a)cos(b) - sin(a)sin(b). If you compute this repeatedly until you get sin(3x)cos(4x) = 3sin(x) - 28sin^3(x) + 56sin^5(x) - 32sin^7(x).