factor 6ab-8b:
Common factor: 2b
2b (3a-4)
To factor the expression 6ab - 8b, you need to find the greatest common factor (GCF) of the given terms, which is 2b in this case.
Here's how you can factor it:
Step 1: Identify the GCF. Since both terms in the expression contain a factor of 2 and b, the GCF is 2b.
Step 2: Divide each term by the GCF. Divide 6ab by 2b to get 3a, and divide 8b by 2b to get 4.
Step 3: Place the GCF outside a set of parentheses. Write 2b outside the parentheses.
Step 4: Write the results from Step 2 inside the parentheses. Write 3a and -4 inside the parentheses.
Putting it all together, the factored form of 6ab - 8b is 2b(3a - 4).