Simplify (x-4)(x+5)

$(x - 4) (x + 5)$

Step 1

Expand $(x - 4) (x + 5)$ using the FOIL Method.

Apply the distributive property.

$x (x + 5) - 4 (x + 5)$

Apply the distributive property.

$x \cdot x + x \cdot 5 - 4 (x + 5)$

Apply the distributive property.

$x \cdot x + x \cdot 5 - 4 x - 4 \cdot 5$

$x \cdot x + x \cdot 5 - 4 x - 4 \cdot 5$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 5 - 4 x - 4 \cdot 5$

Move $5$ to the left of $x$ .

$x^{2} + 5 \cdot x - 4 x - 4 \cdot 5$

Multiply $- 4$ by $5$ .

$x^{2} + 5 x - 4 x - 20$

$x^{2} + 5 x - 4 x - 20$

Subtract $4 x$ from $5 x$ .

$x^{2} + x - 20$

$x^{2} + x - 20$

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