Find the Product (m-n)(m+n)

$(m - n) (m + n)$

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

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Apply the distributive property.

$m (m + n) - n (m + n)$

Apply the distributive property.

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

Apply the distributive property.

$m \cdot m + m n - n m - n \cdot n$

Simplify terms.

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

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Reorder the factors in the terms $m n$ and $- n m$ .

$m \cdot m + m n - m n - n \cdot n$

Subtract $m n$ from $m n$ .

$m \cdot m + 0 - n \cdot n$

Add $m \cdot m$ and $0$ .

$m \cdot m - n \cdot n$

Simplify each term.

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Multiply $m$ by $m$ .

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

Multiply $n$ by $n$ by adding the exponents.

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Move $n$ .

$m^{2} - (n \cdot n)$

Multiply $n$ by $n$ .

$m^{2} - n^{2}$