Answer:
steps below
Step-by-step explanation:
[tex]8sin^{3} x*cos x \\= 4sin^{2} x*2sin x cos x\\= 4sin^{2} x* sin 2x\\ = 2sin 2x*(2sin^{2} x)\\ = 2sin 2x*(1-(1-2sin^{2} x))\\ = 2sin 2x*(1-cos 2x)\\ = 2sin 2x - 2sin2x*cos 2x\\ = 2sin 2x - sin 4x[/tex]
