Simplify (n-1)(n+1)

$(n - 1) (n + 1)$

Step 1

Expand $(n - 1) (n + 1)$ using the FOIL Method.

Apply the distributive property.

$n (n + 1) - 1 (n + 1)$

Apply the distributive property.

$n \cdot n + n \cdot 1 - 1 (n + 1)$

Apply the distributive property.

$n \cdot n + n \cdot 1 - 1 n - 1 \cdot 1$

Step 2

Simplify terms.

Combine the opposite terms in $n \cdot n + n \cdot 1 - 1 n - 1 \cdot 1$ .

Reorder the factors in the terms $n \cdot 1$ and $- 1 n$ .

$n \cdot n + 1 n - 1 n - 1 \cdot 1$

Subtract $1 n$ from $1 n$ .

$n \cdot n + 0 - 1 \cdot 1$

Add $n \cdot n$ and $0$ .

$n \cdot n - 1 \cdot 1$

Simplify each term.

Multiply $n$ by $n$ .

$n^{2} - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$n^{2} - 1$