## x²-1

### (x+1)(x-1)

The expression x²-1 is a polynomial of degree 2 with two terms. In order to simplify this expression, we can use the difference of squares formula, which states that:

a² – b² = (a + b)(a – b)

In this case, we can rewrite x²-1 as:

x² – 1 = (x + 1)(x – 1)

This is the factorization of the expression x²-1. We can check this by multiplying the two factors using the distributive property:

(x + 1)(x – 1) = x(x) + x(-1) + 1(x) + 1(-1) = x² – x + x – 1 = x² – 1

Therefore, x²-1 can be simplified to (x+1)(x-1).

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