Factor 3xy+4x+12y+16

To factor the expression 3xy + 4x + 12y + 16, we can group the terms in pairs:

(3xy + 4x) + (12y + 16)

Now, we can factor out the greatest common factor from each group:

x(3y + 4) + 4(3y + 4)

Notice that both terms in each group share the common factor (3y + 4). We can then factor this out:

(3y + 4)(x + 4)

Therefore, the factored form of 3xy + 4x + 12y + 16 is (3y + 4)(x + 4).