State whether a given pair of terms is of like or unlike terms.
$(i)$. $1,\ 100$
$(ii)$. $-7x,\ \frac{5}{2}x$
$(iii)$. $-29x,\ -29y$
$(iv)$. $14xy,\ 42yx$
$(v)$. $4m^2p,\ 4mp^2$
$(vi)$. $12xz,\ 12x^2y^2$

Given: Pairs:$(i)$. $1,\ 100$


$(ii)$. $-7x,\ \frac{5}{2}x$


$(iii)$. $-29x,\ -29y$


$(iv)$. $14xy,\ 42yx$


$(v)$. $4m^2p,\ 4mp^2$

 

$(vi)$. $12xz,\ 12x^2y^2$


To do: To state whether the given pair of terms is of like or unlike terms:

Solution:

We know that like terms are those terms whose variables and their exponent power are the same. The coefficient of these variables can be different. Unlike terms are those terms whose variables and their exponents are different from each other. 

$(i)$. $1,\ 100$: like terms

$(ii)$. $-7x,\ (\frac{5}{2})x$ : like terms

$(iii)$. $-29x,\ -29y$: unlike terms as they have different variables.

$(iv)$. $14xy,\ 42yx$: like terms

$(v)$. $4m^2p,\ 4mp^2$: unlike terms since the power on the variables are different.

$(vi)$. $12xz,\ 12 x^2y^2$: unlike terms since the power on the variables are different.

Updated on: 10-Oct-2022

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