Question

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

Answer 1

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 2

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

Explanation:

Given :
`7a^2b + 10a^2b^2 + 14a^2b^3`

To Find: Which expression is equivalent to
`7a^2b + 10a^2b^2 + 14a^2b^3`

Solution:

`7a^2b + 10a^2b^2 + 14a^2b^3`

Take
`a^2` as common

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

Now take b as common

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

Hence
`a^2b(7 + 10b + 14b^2)` is equivalent to
`7a^2b + 10a^2b^2 + 14a^2b^3`