Hi skeeter, had a look and this is what i come up with let us know,

2(2sintcost)(cos^2t-sin^2t) =

(2sintcost) * cos^2t = 2sintcostcos^2t = 2sintcos^3t

(2sintcost) * sin^2t = 2sintcostsin^2t = 2sin^3tcost

=

2(2sintcos^3t - 2sin^3tcost)

=

4sintcos^3t - 4sin^3tcost which is the answer, (broken down right?) thanks for letting us know about the (^)!