Question

combine like terms: 6a^2b + 4ab^2 - 2a^2b + 3ab^2

Explanation:

Step1: Identify like terms

Like terms are terms with the same variables raised to the same powers. Here, \(6a^{2}b\) and \(-2a^{2}b\) are like terms, and \(4ab^{2}\) and \(3ab^{2}\) are like terms.

Step2: Combine \(a^{2}b\) terms

\(6a^{2}b - 2a^{2}b=(6 - 2)a^{2}b = 4a^{2}b\)

Step3: Combine \(ab^{2}\) terms

\(4ab^{2}+3ab^{2}=(4 + 3)ab^{2}=7ab^{2}\)

Step4: Combine the results

The combined expression is \(4a^{2}b + 7ab^{2}\)

Answer:

\(4a^{2}b + 7ab^{2}\)