Question

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

Answer 1

a²b(7 + 10b +14b²)

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 -------> 7*a*a*b

10a^2b^2 ----->5*2 * a*a*b*b

14a^2b^3 -------> 7*2 *a*a*b*b*b

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

GCF = a*a*b 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

Answer 2

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)