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-12s^{2}-16sr-2r\left(2r-5s\right)
Use the distributive property to multiply -4s by 3s+4r.
-12s^{2}-16sr-4r^{2}+10rs
Use the distributive property to multiply -2r by 2r-5s.
-12s^{2}-6sr-4r^{2}
Combine -16sr and 10rs to get -6sr.
-12s^{2}-16sr-2r\left(2r-5s\right)
Use the distributive property to multiply -4s by 3s+4r.
-12s^{2}-16sr-4r^{2}+10rs
Use the distributive property to multiply -2r by 2r-5s.
-12s^{2}-6sr-4r^{2}
Combine -16sr and 10rs to get -6sr.