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r^{2}+rs-2r^{2}+rs-s\left(s-3r\right)
Use the distributive property to multiply r by r+s.
-r^{2}+rs+rs-s\left(s-3r\right)
Combine r^{2} and -2r^{2} to get -r^{2}.
-r^{2}+2rs-s\left(s-3r\right)
Combine rs and rs to get 2rs.
-r^{2}+2rs-\left(s^{2}-3sr\right)
Use the distributive property to multiply s by s-3r.
-r^{2}+2rs-s^{2}+3sr
To find the opposite of s^{2}-3sr, find the opposite of each term.
-r^{2}+5rs-s^{2}
Combine 2rs and 3sr to get 5rs.
r^{2}+rs-2r^{2}+rs-s\left(s-3r\right)
Use the distributive property to multiply r by r+s.
-r^{2}+rs+rs-s\left(s-3r\right)
Combine r^{2} and -2r^{2} to get -r^{2}.
-r^{2}+2rs-s\left(s-3r\right)
Combine rs and rs to get 2rs.
-r^{2}+2rs-\left(s^{2}-3sr\right)
Use the distributive property to multiply s by s-3r.
-r^{2}+2rs-s^{2}+3sr
To find the opposite of s^{2}-3sr, find the opposite of each term.
-r^{2}+5rs-s^{2}
Combine 2rs and 3sr to get 5rs.