Question

find the product. simplify your answer.
$(4q + 1)(4q - 1)$

Explanation:

Step1: Apply difference of squares rule

Recall that $(a+b)(a-b)=a^2-b^2$. Here, $a=4q$, $b=1$.

Step2: Compute $a^2$ and $b^2$

$a^2=(4q)^2=16q^2$, $b^2=1^2=1$

Step3: Subtract to get the product

$a^2 - b^2 = 16q^2 - 1$

Answer:

$16q^2 - 1$