Simplify the algebraic expression $(3a^{2}b-2a{b}^2)+(4a{b}^2-a^{2}b)$ and choose the correct simplified form.

Step-by-step solution

1. Identify like terms: $a^{2}b$ terms and $a{b}^2$ terms.
2. Combine $3a^{2}b$ and $-a^{2}b$ to get $2a^{2}b$.
3. Combine $-2a{b}^2$ and $4a{b}^2$ to get $2a{b}^2$.
4. Write the simplified expression as the sum of the two results.

Concept tested: Combining like terms

Published 1 October 2026 · How this solution was prepared and checked