Simplify (x-5)(x+1)

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

Multiply $x$ by $1$ .

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

Multiply $- 5$ by $1$ .

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

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

Subtract $5 x$ from $x$ .

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

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

Related Questions