64r2 - 81t2
This expression cannot be simplified any further.
A. (9t - 8r)(9t + 8r)
B. (8r - 9t)(8r - 9t)
C. (8r - 9t)(8r + 9t)
D. (9t + 8r)(9t + 8r)
To find the product of the given expressions, we can use the formula for the product of the sum and difference of two terms:
(a + b)(a - b) = a^2 - b^2
In this case, our terms are 9t and 8r.
So, the correct answer is:
A. (9t - 8r)(9t + 8r)
Expanding this expression gives us:
(9t)(9t) + (9t)(8r) - (8r)(9t) - (8r)(8r)
= 81t^2 + 72tr - 72tr - 64r^2
= 81t^2 - 64r^2
Therefore, the correct answer is A. (9t - 8r)(9t + 8r)