Answer
Sometimes yes: $9(x^2 + 9 y^2)$
Work Step by Step
In order to factorize this polynomial, we need to put the common factor in evidence. We have:
$9 \cdot x^2 + 81 \cdot y^2$
We can write as
$9 \cdot x^2 + 9 \cdot 9 \cdot y^2$
So, we put $9$ in evidence to get:
$9 \cdot (x^2 + 9 \cdot y^2)=9(x^2+9y^2)$
Another example:
$64x^6+1=(4x^2+1)(16x^4-4x^2+1)$