Simplify (x-1)(x-5)

$(x - 1) (x - 5)$

Step 1

Expand $(x - 1) (x - 5)$ using the FOIL Method.

Apply the distributive property.

$x (x - 5) - 1 (x - 5)$

Apply the distributive property.

$x \cdot x + x \cdot - 5 - 1 (x - 5)$

Apply the distributive property.

$x \cdot x + x \cdot - 5 - 1 x - 1 \cdot - 5$

$x \cdot x + x \cdot - 5 - 1 x - 1 \cdot - 5$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 5 - 1 x - 1 \cdot - 5$

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

$x^{2} - 5 \cdot x - 1 x - 1 \cdot - 5$

Rewrite $- 1 x$ as $- x$ .

$x^{2} - 5 x - x - 1 \cdot - 5$

Multiply $- 1$ by $- 5$ .

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

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

Subtract $x$ from $- 5 x$ .

$x^{2} - 6 x + 5$

$x^{2} - 6 x + 5$

Related Questions