Answer:
ab(3a + 4b)
Explanation:
Here are the steps on how to write the expression
3a^2 b + 4ab^2 as an equivalent algebraic expression:
1. Factor out the greatest common factor, which is ab.
2. The expression becomes ab(3a + 4b).
3. This is an equivalent algebraic expression to 3a^2 b + 4ab^2.
steps:
- Original expression: 3a^2 b + 4ab^2
- Greatest common factor: ab
- Factored expression: ab(3a + 4b)
- Equivalent expression: ab(3a + 4b)
I hope this helps! Let me know if you have any other questions.