Find the factors
ab+ 2a +3b +6
First group the terms to get
(ab+2a) + (3b+6)
Now you can find a factor for each term
a(b+2) + 3(b+2)
Factor out the (b+2) in each term
(b+2)(a+3)
To find the factors of the expression ab + 2a + 3b + 6, we can group the terms like this: (ab + 2a) + (3b + 6).
Next, we can factor out a common factor from each group separately.
From the first group (ab + 2a), we can factor out the common factor "a" to get a(b + 2).
From the second group (3b + 6), we can factor out the common factor "3" to get 3(b + 2).
Now, we have a(b + 2) + 3(b + 2).
Notice that both terms now have the same factor (b + 2).
We can factor out (b + 2) from both terms to get (b + 2)(a + 3).
So the factors of the expression ab + 2a + 3b + 6 are (b + 2) and (a + 3).