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3x^{2}-4x+5-\left(5c^{3}-2a^{2}+a-3+x^{2}\right)
Subtract 8 from 5 to get -3.
3x^{2}-4x+5-5c^{3}+2a^{2}-a+3-x^{2}
To find the opposite of 5c^{3}-2a^{2}+a-3+x^{2}, find the opposite of each term.
3x^{2}-4x+8-5c^{3}+2a^{2}-a-x^{2}
Add 5 and 3 to get 8.
2x^{2}-4x+8-5c^{3}+2a^{2}-a
Combine 3x^{2} and -x^{2} to get 2x^{2}.
3x^{2}-4x+5-\left(5c^{3}-2a^{2}+a-3+x^{2}\right)
Subtract 8 from 5 to get -3.
3x^{2}-4x+5-5c^{3}+2a^{2}-a+3-x^{2}
To find the opposite of 5c^{3}-2a^{2}+a-3+x^{2}, find the opposite of each term.
3x^{2}-4x+8-5c^{3}+2a^{2}-a-x^{2}
Add 5 and 3 to get 8.
2x^{2}-4x+8-5c^{3}+2a^{2}-a
Combine 3x^{2} and -x^{2} to get 2x^{2}.