Question

find the square. simplify your answer.
(4t + 1)²

Explanation:

Step1: Recall the square of a binomial formula

The formula for \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = 4t\) and \(b = 1\).

Step2: Apply the formula

First, calculate \(a^2=(4t)^2 = 16t^2\).
Then, calculate \(2ab = 2\times(4t)\times1=8t\).
Next, calculate \(b^2 = 1^2 = 1\).

Step3: Combine the terms

Add the three terms together: \(16t^2+8t + 1\).

Answer:

\(16t^2 + 8t + 1\)