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3x^{2}+2-4-\left(3x^{2}+1\right)
Combine 2x^{2} and x^{2} to get 3x^{2}.
3x^{2}-2-\left(3x^{2}+1\right)
Subtract 4 from 2 to get -2.
3x^{2}-2-3x^{2}-1
To find the opposite of 3x^{2}+1, find the opposite of each term.
-2-1
Combine 3x^{2} and -3x^{2} to get 0.
-3
Subtract 1 from -2 to get -3.