4sin(3x) - 3sin(2x) = 4(sin(3x)) - 3sin(2x)
= 4(3sin(x) - 4sin^3(x)) - 3(2sin(x)cos(x))
= 12sin(x) - 16sin^3(x) - 6sin(x)cos(x)
= 6sin(x)(2 - 8sin^2(x)) - 6sin(x)cos(x)
= 6sin(x)(2 - 8sin^2(x) - cos(x))