Final answer:
The expression t²-8t+16 can be factorized into (t-4)², where a = -4.
Step-by-step explanation:
To factorize the expression t²-8t+16 into the form (t+a)², we need to find the value of a.
We can do this by comparing the given expression with the standard form (t+a)².
When we expand (t+a)², we get t² + 2at + a². Comparing this with the given expression,
we can see that 2at is missing in t²-8t+16.
Therefore, we can rewrite the expression as (t-4)², which corresponds to (t+a)² where a = -4.