Question

Group the like terms together​
(iii) $-a{b}^2,b^2{a}^2,7b^{2}a-3a^2{b}^2\text{and}2a{b}^2$

Answer 1

The terms having the same literal coefficients are called like terms. They may differ only in their numeral coefficients.
Given terms: $-a{b}^2,b^2{a}^2,7b^{2}a,-3a^2{b}^2\text{and}2a{b}^2$
Here, $-a{b}^2,7b^{2}a,2a{b}^2$ are like terms, as each has the same literal '$a{b}^2$'.
Also, $b^2{a}^2,-3a^2{b}^2$ are like terms, as each has the same literal '$a^2{b}^2$'.
Therefore, like terms in the given group are $-a{b}^2,7b^{2}a,2a{b}^2\text{and}{b}^2{a}^2,-3a^2{b}^2$.