Answer:
54² = 2916
82² = 6724
Explanation:
A binomial refers to a polynomial expression consisting of two terms connected by an operator such as addition or subtraction. It is often represented in the form (a + b), where "a" and "b" are variables or constants.
The formula for squaring a binomial is:

To evaluate 54² we can rewrite 54 as (50 + 4).
Therefore, a = 50 and b = 4.
Applying the formula:

Therefore, 54² is equal to 2916.
To evaluate 82² we can rewrite 82 as (80 + 2).
Therefore, a = 80 and b = 2.
Applying the formula:

Therefore, 82² is equal to 6724.