Final Answer:
The factored form of the expression 02-817 = 16 is a. (m - 4)(m + 4).
Step-by-step explanation:
The factored form of an expression is a representation where the expression is expressed as a product of its factors. In the given expression, 02-817 = 16, it is evident that the factors are (m - 4) and (m + 4). Option a, (m - 4)(m + 4), correctly represents the factored form. This is because when you expand the expression by multiplying these factors, you obtain the original expression.
The factor (m - 4) accounts for the subtraction of 4 from m, and the factor (m + 4) represents the addition of 4 to m. When these factors are multiplied together using the distributive property, the result is the original expression 02-817 = 16. Therefore, option a is the correct choice as the expression is indeed already in factored form.
Other options can be ruled out through careful analysis. Option c, (m - 4)(m - 8), does not yield the correct expression upon expansion, and option d, (m - 4)(m - 4m - 8m + 1), contains an error in the second factor. Thus, the correct and concise choice is option a, affirming that the given expression is in factored form as presented.