In the algebraic expression `2a^2b+3a b^2-7a b-4b a^2,` we have `2\ a^2b` and `-4b a^2` as like terms, whereas `3a b^2a n d\ 7a b` are unlike terms.

Explanation

Like terms are those terms having same or different coefficient but same variables.As in algebraic expression `2a^2b+3a b^2-7a b-4b a^2`, `2\ a^2b` and `-4b a^2` are like terms as they both have same variable in the form of `a^2` and `b`.

Unlike terms are those terms which have different variables. As in algebraic expression `2a^2b+3a b^2-7a b-4b a^2`, `3a b^2` and `\ 7a b` are unlike terms as they both have unlike terms in the in the form of `b^2` and `b`.