Find the common factor:
22abc−c11ab
To find the common factor for the expression 22abc−c11ab, we will follow these steps:
- Step 1: Determine the common factors in terms of coefficients and variables.
- Step 2: Factor these common elements out of the expression.
- Step 3: Simplify the expression after factoring.
Now, let's proceed with the solution:
Step 1: Identify the common factors.
The expression is 22abc−c11ab. We can see that both terms have the factors 11ab.
11 is a common numerical factor in 22 and 11. Ab is also present in both terms.
Step 2: Factor out the common factors.
Factor out 11ab from each term in the expression:
22abc−c11ab=11ab(11ab22abc−11ab(c11ab))
Step 3: Simplify the terms inside the parenthesis.
- Simplify the first term: 11ab22abc=2c
- Simplify the second term: 11abc11ab=c1
Thus, we get the factored form:
11ab(2c−c1)
Therefore, the common factor form of 22abc−c11ab is 11ab(2c−c1).
11ab(2c−c1)