5r^2s^2(-2r^2+3rs-4s^2)
To simplify the expression 5r^2s^2(-2r^2+3rs-4s^2), we apply the distributive property:
5r^2s^2(-2r^2+3rs-4s^2) = 5r^2s^2(-2r^2) + 5r^2s^2(3rs) + 5r^2s^2(-4s^2)
Simplifying each term, we get:
-10r^4s^2 + 15r^3s^3 - 20r^2s^4