Answer
$$r^{15}-20r^{12}s+160r^9s^2-640r^6s^3+1280r^3s^4-1024s^5$$
Work Step by Step
The binomial theorem allows us to expand the given expression without multiplying it out. Doing this, we find:
$$r^{15}-20r^{12}s+160r^9s^2-640r^6s^3+1280r^3s^4-1024s^5$$
