Verified Answer :

The given expression can be simplified in many ways by grouping like terms. The simplest form is obtained by factoring out a²b which gives us the following expression.

a²b(7 + 10b +14b²)

Answer:

a²b(7 + 10b +14b²)

Step-by-step explanation:

\(7a^2b + 10a^2b^2 + 14a^2b^3\)

To find out equivalent expression we need to factor the given expression

To factor it first we find out GCF(greatest common factor)

7 a^2b -------> 7aab

10a^2b^2 ----->52 aabb

14a^2b^3 -------> 72 aabbb

To get GCF we look at the factors that are in common

GCF = aab  that is a^2b

We factor out GCF a^2b, write a^2b outside and divide all the terms by a^2b

\(a^2b(7 +10b +14b^2)\)

7+10b+14b^2 cannot be factor . its prime