Simplify (m+9)(m-3)

$(m + 9) (m - 3)$

Step 1

Expand $(m + 9) (m - 3)$ using the FOIL Method.

Apply the distributive property.

$m (m - 3) + 9 (m - 3)$

Apply the distributive property.

$m \cdot m + m \cdot - 3 + 9 (m - 3)$

Apply the distributive property.

$m \cdot m + m \cdot - 3 + 9 m + 9 \cdot - 3$

$m \cdot m + m \cdot - 3 + 9 m + 9 \cdot - 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $m$ by $m$ .

$m^{2} + m \cdot - 3 + 9 m + 9 \cdot - 3$

Move $- 3$ to the left of $m$ .

$m^{2} - 3 \cdot m + 9 m + 9 \cdot - 3$

Multiply $9$ by $- 3$ .

$m^{2} - 3 m + 9 m - 27$

$m^{2} - 3 m + 9 m - 27$

Add $- 3 m$ and $9 m$ .

$m^{2} + 6 m - 27$

$m^{2} + 6 m - 27$

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