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\left(-a-2\right)\left(a-2\right)-4\left(a-3\right)
To find the opposite of a+2, find the opposite of each term.
-a^{2}+2a-2a+4-4\left(a-3\right)
Apply the distributive property by multiplying each term of -a-2 by each term of a-2.
-a^{2}+4-4\left(a-3\right)
Combine 2a and -2a to get 0.
-a^{2}+4-4a+12
Use the distributive property to multiply -4 by a-3.
-a^{2}+16-4a
Add 4 and 12 to get 16.
\left(-a-2\right)\left(a-2\right)-4\left(a-3\right)
To find the opposite of a+2, find the opposite of each term.
-a^{2}+2a-2a+4-4\left(a-3\right)
Apply the distributive property by multiplying each term of -a-2 by each term of a-2.
-a^{2}+4-4\left(a-3\right)
Combine 2a and -2a to get 0.
-a^{2}+4-4a+12
Use the distributive property to multiply -4 by a-3.
-a^{2}+16-4a
Add 4 and 12 to get 16.