If t2 - m2 = 54 and t + m = 6, what is t - m?(A) 2(B) 3(C) 6(D) 9(E) 12

To solve this problem, we can use the formulas for the difference of squares and the square of a sum.

We know that:

1. t^2 - m^2 = 54 (which is a difference of squares and can be rewritten as (t - m)(t + m))

2. t + m = 6

Substitute equation 2) into equation 1):

(t - m)(6) = 54 t - m = 54 / 6 t - m = 9

So, the answer is (D) 9.