To simplify the expression 7a²b + 10a²b² + 14a²b³, we need to look for common factors in each term.
First, we can observe that each term contains a factor of a²:
- 7a²b
- 10a²b²
- 14a²b³
We can factor out the common term a² from all three components of the expression, leading to:
a²(7b + 10b² + 14b³)
Now, we need to rearrange the expression inside the parentheses:
7b + 10b² + 14b³
This expression cannot be simplified further in standard polynomial forms. So, the final factored form of the original expression is:
a²(7b + 10b² + 14b³)
Thus, the expression 7a²b + 10a²b² + 14a²b³ is equivalent to a²(7b + 10b² + 14b³).