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 $- 5 x$ .

$x^{2} - 9 x + 20$

$x^{2} - 9 x + 20$

Related Questions