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n^{2}+3n+2n+6-\left(n+1\right)n
Apply the distributive property by multiplying each term of n+2 by each term of n+3.
n^{2}+5n+6-\left(n+1\right)n
Combine 3n and 2n to get 5n.
n^{2}+5n+6-\left(n^{2}+n\right)
Use the distributive property to multiply n+1 by n.
n^{2}+5n+6-n^{2}-n
To find the opposite of n^{2}+n, find the opposite of each term.
5n+6-n
Combine n^{2} and -n^{2} to get 0.
4n+6
Combine 5n and -n to get 4n.
n^{2}+3n+2n+6-\left(n+1\right)n
Apply the distributive property by multiplying each term of n+2 by each term of n+3.
n^{2}+5n+6-\left(n+1\right)n
Combine 3n and 2n to get 5n.
n^{2}+5n+6-\left(n^{2}+n\right)
Use the distributive property to multiply n+1 by n.
n^{2}+5n+6-n^{2}-n
To find the opposite of n^{2}+n, find the opposite of each term.
5n+6-n
Combine n^{2} and -n^{2} to get 0.
4n+6
Combine 5n and -n to get 4n.