Answer :
Answer:
3xy
Step-by-step explanation:
We are to determine the GCF of the expression.
[tex]6(x^3)(y^3)+45(x^2)(y^2)+21xy[/tex]
THe GCF of the expression is the term that exactly divides all the terms in the expression
Step 1
If we observe the expression carefully, we notice that it has a common term of 3, x and y. That is, 3,x and y divides each term.
Step 2
Divide by 3xy for confirmation
[tex]3xy\left(\dfrac{6(x^3)(y^3)}{3xy} +\dfrac{45(x^2)(y^2)}{3xy}+\dfrac{21xy}{3xy}\right)\\=3xy[2(x^2)(y^2)+15xy+7][/tex]
Therefore, we can confirm that the GCF is 3xy.