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5ab+2a^{2}-2ba+3a^{2}
Combine ab and 4ab to get 5ab.
3ab+2a^{2}+3a^{2}
Combine 5ab and -2ba to get 3ab.
3ab+5a^{2}
Combine 2a^{2} and 3a^{2} to get 5a^{2}.
a\left(b+4b+2a-2b+3a\right)
Factor out a.
5a+3b
Consider b+4b+2a-2b+3a. Multiply and combine like terms.
a\left(5a+3b\right)
Rewrite the complete factored expression.