What is the sum of the polynomials 3a^{2}b + 2a^{2}b^{2} and -ab^{2} + a^{2}b^{2}

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3a^{2}b + 2a^{2}b^{2} and -ab^{2} + a^{2}b^{2}

group the like terms

=3a^2b-ab^2+(2a^2b^2+a^2b^2)

=3a^b-ab^2+3a^2b^2

let ab be the common factor, then simplify as below

=ab(3a-b+3ab)

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