Question

find the square. simplify your answer.
(4p - 1)²

Explanation:

Step1: Recall the square of a binomial formula

The formula for squaring a binomial \((a - b)^2\) is \(a^2 - 2ab + b^2\). In the expression \((4p - 1)^2\), let \(a = 4p\) and \(b = 1\).

Step2: Apply the formula

First, calculate \(a^2\): \((4p)^2 = 16p^2\).
Next, calculate \(2ab\): \(2\times(4p)\times(1)=8p\).
Then, calculate \(b^2\): \(1^2 = 1\).
Now, substitute these into the formula: \((4p - 1)^2=(4p)^2-2\times(4p)\times(1)+1^2 = 16p^2-8p + 1\).

Answer:

\(16p^2 - 8p + 1\)