Which expression is equivalent to 7a²b + 10a²b² + 14a²b³?
ab(7a²+ 10ab + 14b²)
a²b(7 + 10b + 14b²)
7a²(b + 3b²+ 7b³)
7a²b³(b²+ 3b + 7)

Solution:

Given 7a²b + 10a²b² + 14a²b³

It is an polynomial expression with variable degree.

We can take a²b{7 + 10b +14b²}

This resembles option (b) - a²b(7 + 10b + 14b²)

Which expression is equivalent to 7a²b + 10a²b² + 14a²b³?

Summary:

a²b(7 + 10b + 14b²) expression is equivalent to 7a²b + 10a²b² + 14a²b³.