Question

find the square. simplify your answer.
(t - 4)²

Explanation:

Step1: Recall the square of a binomial formula

The formula for \((a - b)^2\) is \(a^2 - 2ab + b^2\). Here, \(a = t\) and \(b = 4\).

Step2: Apply the formula

Substitute \(a = t\) and \(b = 4\) into the formula:
\(a^2 = t^2\), \(2ab = 2\times t\times4 = 8t\), \(b^2 = 4^2 = 16\).
So, \((t - 4)^2 = t^2 - 8t + 16\).

Answer:

\(t^2 - 8t + 16\)