Answer:
[tex](x+1)(x-1)[/tex]
Step-by-step explanation:
Let's factor: [tex]x^2-1[/tex]
[tex]x^2-1[/tex]
The middle number is 0 and the last number is -1.
Factoring means we want something like
( x + _ )( x + _ )
Which numbers go in the blanks?
We need two numbers that…
- Add together to get 0
- Multiply together to get -1
Can you think of the two numbers?
Try 1 and -1:
[tex]1 + (-1) = 0\\1*(-1) = -1[/tex]
Fill in the blanks in
(x+_)(x+_)
with 1 and -1 to get...
(x+1)(x-1)
