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).