To factor the expression \( 8ab - 56a \) completely, we can start by identifying the greatest common factor (GCF) of the terms in the expression.
The terms are \( 8ab \) and \( -56a \).
- The coefficients are 8 and -56. The GCF of 8 and 56 is 8.
- The variable \( a \) is present in both terms.
Thus, the GCF of the expression \( 8ab - 56a \) is \( 8a \).
Now, we can factor out the GCF:
\[ 8ab - 56a = 8a(b - 7) \]
Therefore, the completely factored form of the expression is:
\[ \boxed{8a(b - 7)} \]
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