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a^{2}-3a+\left(2-a\right)\left(1+a\right)
Use the distributive property to multiply a by a-3.
a^{2}-3a+2+2a-a-a^{2}
Apply the distributive property by multiplying each term of 2-a by each term of 1+a.
a^{2}-3a+2+a-a^{2}
Combine 2a and -a to get a.
a^{2}-2a+2-a^{2}
Combine -3a and a to get -2a.
-2a+2
Combine a^{2} and -a^{2} to get 0.
a^{2}-3a+\left(2-a\right)\left(1+a\right)
Use the distributive property to multiply a by a-3.
a^{2}-3a+2+2a-a-a^{2}
Apply the distributive property by multiplying each term of 2-a by each term of 1+a.
a^{2}-3a+2+a-a^{2}
Combine 2a and -a to get a.
a^{2}-2a+2-a^{2}
Combine -3a and a to get -2a.
-2a+2
Combine a^{2} and -a^{2} to get 0.