Question

find the square. simplify your answer.
(2p - 3)²

Explanation:

Step1: Recall the square of a binomial formula

The formula for \((a - b)^2\) is \(a^2 - 2ab + b^2\). Here, \(a = 2p\) and \(b = 3\).

Step2: Apply the formula

First, calculate \(a^2=(2p)^2 = 4p^2\).
Then, calculate \(2ab = 2\times(2p)\times3=12p\).
Next, calculate \(b^2 = 3^2 = 9\).
Now, substitute these into the formula: \((2p - 3)^2=(2p)^2-2\times(2p)\times3 + 3^2=4p^2-12p + 9\).

Answer:

\(4p^2 - 12p + 9\)