Simplify (x+5)(x-9)

$(x + 5) (x - 9)$

Step 1

Expand $(x + 5) (x - 9)$ using the FOIL Method.

Apply the distributive property.

$x (x - 9) + 5 (x - 9)$

Apply the distributive property.

$x \cdot x + x \cdot - 9 + 5 (x - 9)$

Apply the distributive property.

$x \cdot x + x \cdot - 9 + 5 x + 5 \cdot - 9$

$x \cdot x + x \cdot - 9 + 5 x + 5 \cdot - 9$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 9 + 5 x + 5 \cdot - 9$

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

$x^{2} - 9 \cdot x + 5 x + 5 \cdot - 9$

Multiply $5$ by $- 9$ .

$x^{2} - 9 x + 5 x - 45$

$x^{2} - 9 x + 5 x - 45$

Add $- 9 x$ and $5 x$ .

$x^{2} - 4 x - 45$

$x^{2} - 4 x - 45$

Related Questions