To simplify the expression sin(x)cos^5(x) - cos(x)sin^5(x), we can use the identity sin(2x) = 2sin(x)cos(x).

Let's rewrite the expression using this identity:

sin(x)cos^5(x) - cos(x)sin^5(x)
= sin(x)cos(x)cos^4(x) - cos(x)sin(x)sin^4(x)
= sin(x)cos(x)(cos^4(x) - sin^4(x))

Now, we can use the identity cos^2(x) - sin^2(x) = cos(2x) to further simplify the expression:

sin(x)cos(x)(cos^4(x) - sin^4(x))
= sin(x)cos(x)(cos^2(x) + sin^2(x))(cos^2(x) - sin^2(x))
= sin(x)cos(x)(1)(cos^2(x) - sin^2(x))
= sin(x)cos(x)(cos(2x))

Therefore, the simplified expression is sin(x)cos(x)(cos(2x)).