find the product. simplify your answer.\n(4k + 1)(4k - 1)

Answer:

$16k^2 - 1$

Explanation:

Step1: Identify difference of squares

The expression is $(a+b)(a-b)$ where $a=4k$, $b=1$.

Step2: Apply difference of squares formula

Use $a^2 - b^2$: $(4k)^2 - 1^2$.

Step3: Simplify terms

Calculate $(4k)^2 = 16k^2$ and $1^2 =1$, so result is $16k^2 -1$.