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)

Option: B is the correct answer.

           B)

Step-by-step explanation:

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

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:

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

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step-by-step explanation: