Question

What is special about the factored form of answer N-16x2 - 1?

Answer 1

Answer:

Both 16 and 1 are squares. This suggests using the formula for the difference of squares. Answer link.

Step-by-step explanation:

Every time you have a difference in the format of

A2−B2 you can factor as (A−B)(A+B).

Then you have to identify if your quantity is the difference of two squared quantities.

It is. In fact we can write it as:

16x2−1=(4x)2−12

Then we can apply our rule

${(4x)}^{2} - {1}^{2} = (4x - 1)(4x + 1)$