Simplify (x+9)(x-3)

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

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

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

Multiply $9$ by $- 3$ .

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

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

Add $- 3 x$ and $9 x$ .

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

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

Related Questions