Question

Which of the following pairs of terms is a pair of unlike terms?

• A. $-p^2{q}^2,12q^2{p}^2$
• B. 41, 100
• C. $q{p}^2,13p^{2}q$
• D. $-4y{x}^2,-4x{y}^2$

Answer 1

The correct option is D $-4y{x}^2,-4x{y}^2$

$-p^2{q}^2,12q^2{p}^2$: terms contain same variables with equal exponents, so these are like terms.

41, 100: terms do not contain any variable, so these are like terms.

$q{p}^2,13p^{2}q$: terms have same variables $p$ and $q$ with equal exponent 2 and 1 respectively. So, these are like terms.

$-4y{x}^2,-4x{y}^2$: As in $-4y{x}^2$, $x$ has exponent 2 & $y$ has exponent 1 and in $-4x{y}^2$ , $y$ has exponent 2 & $x$ has exponent 1. So both the terms have same variables but with different exponent. Hence $-4y{x}^2,-4x{y}^2$ are unlike terms.