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7a^{2}-10a-8-\left(-a^{2}\right)-5a-2
To find the opposite of -a^{2}+5a+2, find the opposite of each term.
7a^{2}-15a-8-\left(-a^{2}\right)-2
Combine -10a and -5a to get -15a.
7a^{2}-15a-10-\left(-a^{2}\right)
Subtract 2 from -8 to get -10.
7a^{2}-15a-10+a^{2}
Multiply -1 and -1 to get 1.
8a^{2}-15a-10
Combine 7a^{2} and a^{2} to get 8a^{2}.
7a^{2}-10a-8-\left(-a^{2}\right)-5a-2
To find the opposite of -a^{2}+5a+2, find the opposite of each term.
7a^{2}-15a-8-\left(-a^{2}\right)-2
Combine -10a and -5a to get -15a.
7a^{2}-15a-10-\left(-a^{2}\right)
Subtract 2 from -8 to get -10.
7a^{2}-15a-10+a^{2}
Multiply -1 and -1 to get 1.
8a^{2}-15a-10
Combine 7a^{2} and a^{2} to get 8a^{2}.