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