Simplify (x-3)(x+9)

$(x - 3) (x + 9)$

Step 1

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

Apply the distributive property.

$x (x + 9) - 3 (x + 9)$

Apply the distributive property.

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

Apply the distributive property.

$x \cdot x + x \cdot 9 - 3 x - 3 \cdot 9$

$x \cdot x + x \cdot 9 - 3 x - 3 \cdot 9$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

Move $9$ to the left of $x$ .

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

Multiply $- 3$ by $9$ .

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

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

Subtract $3 x$ from $9 x$ .

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

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

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