Rewrite the expression 2a^b+6a^2b^2 by factoring out the GCF.

The GCF of 2a^b and 6a^2b^2 is 2a^b.

Factoring out the GCF, we get:
2a^b(a^(2-1) + 3b^2)
= 2a^b(a + 3b^2)