Final answer:
The factored form of the binomial equation 36-(1)/(9)m² is (6 - (1/3)m)(6 + (1/3)m).
Step-by-step explanation:
To factor the binomial equation 36 - (1/9)m², we can recognize that it is in the form of a difference of squares. The equation can be rewritten as (6 - (1/3)m)(6 + (1/3)m). Therefore, the factored form of the equation is (6 - (1/3)m)(6 + (1/3)m).