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v\left(2av+3v^{2}+2av\right)
Factor out v.
v\left(2a+3v+2a\right)
Consider 2av+3v^{2}+2av. Factor out v.
3v+4a
Consider 2a+3v+2a. Multiply and combine like terms.
vv\left(3v+4a\right)
Rewrite the complete factored expression.