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3\left(3v^{2}-v^{2}+2\right)
Factor out 3.
2v^{2}+2
Consider 3v^{2}-v^{2}+2. Multiply and combine like terms.
2\left(v^{2}+1\right)
Consider 2v^{2}+2. Factor out 2.
6\left(v^{2}+1\right)
Rewrite the complete factored expression.
6v^{2}+6
Combine 9v^{2} and -3v^{2} to get 6v^{2}.