Question

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

Explanation:

Step1: Recall the square of a binomial formula

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

Step2: Calculate \(a^2\)

\(a^2=(2q)^2 = 4q^2\)

Step3: Calculate \(2ab\)

\(2ab = 2\times(2q)\times3=12q\)

Step4: Calculate \(b^2\)

\(b^2 = 3^2=9\)

Step5: Combine the terms

\((2q + 3)^2=4q^2+12q + 9\)

Answer:

\(4q^2 + 12q + 9\)