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2\left(av^{2}-3a^{2}b^{2}+2ad\right)
Factor out 2.
a\left(v^{2}-3ab^{2}+2d\right)
Consider av^{2}-3a^{2}b^{2}+2ad. Factor out a.
2a\left(v^{2}-3ab^{2}+2d\right)
Rewrite the complete factored expression.