Final answer:
An expression, possibly m^2 - 64. If so, using the difference of squares, the factored form is (m + 8)(m - 8).
Step-by-step explanation:
The factoring an expression that resembles a polynomial in the form of m sqrt(2) - 64. However, without a variable term accompanying 'm', this expression cannot be factored in the traditional sense as it would if it were m2 - 64, for instance, which is a difference of squares and could be factored as (m + 8)(m - 8).
Assuming the student intended to ask about m2 - 64, we can use the concept of the difference of squares, which takes the form a2 - b2 = (a + b)(a - b). In the expression m2 - 64, 'm' plays the role of 'a' and 64 is a perfect square, being 82. Therefore, factoring this expression yields (m + 8)(m - 8).