Question

find the square. simplify your answer.
$(3p + 1)^2$

Explanation:

Step1: Recall the square of a binomial formula

The formula for \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = 3p\) and \(b = 1\).

Step2: Substitute \(a\) and \(b\) into the formula

First, calculate \(a^2=(3p)^2 = 9p^2\).
Then, calculate \(2ab = 2\times(3p)\times1=6p\).
Next, calculate \(b^2 = 1^2 = 1\).

Step3: Combine the terms

Add the three terms together: \(9p^2+6p + 1\).

Answer:

\(9p^2 + 6p + 1\)