ANSWER
5x
EXPLANATION
We want to find the Greatest Common Factor, GCF, of the expression given:
[tex]45x^2\text{ + 10x}[/tex]To do this, we have to factor out the terms that are common between the two terms in the expression.
We have:
[tex]5x(9x\text{ + 2)}[/tex]As we can see, 5x is the greatest factor that is common to the two terms.
Therefore, the Greatest Common Factor is 5x.