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

Answer:

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

Step-by-step 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 $7a^2b + 10a^2b^2 + 14a^2b^3$