Question

What is the fully factored form of the expression 45x²y2 + 18x3

Answer 1

9x^2(5y^2 + 2x).

Explanation:

First find the Greatest Common Factor of the 2 terms.

GCF of 18 and 45 = 9

GCF of x^2 and x^3 = x^2.

The complete GCF is therefore 9x^2.

So, dividing each term by the GCF, we obtain:

9x^2(5y^2 + 2x).