Which is the correct simplification of the expression $5p^{2}q-3p{q}^2+2p{q}^2-4p^{2}q$?

Step-by-step solution

1. Identify like terms: $5p^{2}q$ and $-4p^{2}q$ are like terms.
2. Add them: $5p^{2}q+(-4p^{2}q)=p^{2}q$.
3. Identify like terms: $-3p{q}^2$ and $2p{q}^2$ are like terms.
4. Add them: $-3p{q}^2+2p{q}^2=-p{q}^2$.
5. Write the simplified expression: $p^{2}q-p{q}^2$.

Concept tested: Simplification of algebraic expression

Published 4 October 2026 · How this solution was prepared and checked