Explanation:
To simplify the expression m2-12m -64, we can factor it by finding two numbers whose product is -64 and whose sum is -12.
We can start by listing all the factors of 64: 1, 2, 4, 8, 16, 32, and 64. Since the product is negative, we know that the two factors must have different signs. We can also see that the only pair of factors that add up to -12 is -8 and 4.
Therefore, we can write the expression as:
m^2 - 12m - 64 = (m - 8)(m + 4)
So, the expression is equivalent to (m - 8)(m + 4).