Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.
Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.
So the expression becomes:
-14 + 8
To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:
(-14) + (8) = -14 * 1 + (-14) * 8
This can be simplified as:
-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)
Finally, we can add the two negative numbers to get the result:
-14 + (-112) = -126
Therefore, the expression -14 - (-8) factors completely as -126.