Question

Which expression is equivalent to 7a^2b + 10a^2b^2 + 14a^2b^3?

A) ab(7a^2 + 10ab + 14b^2)
B) a^2b(7 + 10b + 14b^2)
C) 7a^2(b + 3b^2 + 7b^3)
D) 7a^2b^3(b^2 + 3b + 7)

Answer 1

Option: B is the correct answer.

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

Explanation:

We are given an algebraic expression in terms of the variable 'x' and 'y' as:

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

Now we are asked to find the expression that is equivalent to the above expression.

We could clearly observe that each of the term in the expression has a common term as:
`a^2b`

Hence, we take out common this common term and write the remaining expression in bracket as:

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

Answer 2

7a^2b + 10a^2b^2 + 14a^2b^3 =
a^2b (7 + 10b + 14b^2) <==