GCF(Greatest Common Factor) and Factor by Grouping

Question

Factor:

18x^2+8xy+9x+4y=

Answer 1

18x² + 8xy + 9x + 4y = (18x² + 9x) + (8xy + 4y)

The first pair of terms has a common factor 9x

The second pair of terms has a common factor 4y

So we now have 18x² + 8xy + 9x + 4y = 9x(2x + 1) + 4y(2x + 1)

And a GCF of (2x + 1) emerges...

So our final factored form of the original equation is

18x² + 8xy + 9x + 4y = (9x+4y)(2x + 1)