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-a^{2}-2a+3+3a^{2}-5-\left(-2a-2+2a^{2}\right)
To find the opposite of a^{2}+2a-3, find the opposite of each term.
2a^{2}-2a+3-5-\left(-2a-2+2a^{2}\right)
Combine -a^{2} and 3a^{2} to get 2a^{2}.
2a^{2}-2a-2-\left(-2a-2+2a^{2}\right)
Subtract 5 from 3 to get -2.
2a^{2}-2a-2+2a+2-2a^{2}
To find the opposite of -2a-2+2a^{2}, find the opposite of each term.
2a^{2}-2+2-2a^{2}
Combine -2a and 2a to get 0.
2a^{2}-2a^{2}
Add -2 and 2 to get 0.
0
Combine 2a^{2} and -2a^{2} to get 0.