Simplify (x+4)(x-9)

$(x + 4) (x - 9)$

Step 1

Expand $(x + 4) (x - 9)$ using the FOIL Method.

Apply the distributive property.

$x (x - 9) + 4 (x - 9)$

Apply the distributive property.

$x \cdot x + x \cdot - 9 + 4 (x - 9)$

Apply the distributive property.

$x \cdot x + x \cdot - 9 + 4 x + 4 \cdot - 9$

$x \cdot x + x \cdot - 9 + 4 x + 4 \cdot - 9$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 9 + 4 x + 4 \cdot - 9$

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

$x^{2} - 9 \cdot x + 4 x + 4 \cdot - 9$

Multiply $4$ by $- 9$ .

$x^{2} - 9 x + 4 x - 36$

$x^{2} - 9 x + 4 x - 36$

Add $- 9 x$ and $4 x$ .

$x^{2} - 5 x - 36$

$x^{2} - 5 x - 36$

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