Simplify (x-4)(x+1)

$(x - 4) (x + 1)$

Step 1

Expand $(x - 4) (x + 1)$ using the FOIL Method.

Apply the distributive property.

$x (x + 1) - 4 (x + 1)$

Apply the distributive property.

$x \cdot x + x \cdot 1 - 4 (x + 1)$

Apply the distributive property.

$x \cdot x + x \cdot 1 - 4 x - 4 \cdot 1$

$x \cdot x + x \cdot 1 - 4 x - 4 \cdot 1$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 1 - 4 x - 4 \cdot 1$

Multiply $x$ by $1$ .

$x^{2} + x - 4 x - 4 \cdot 1$

Multiply $- 4$ by $1$ .

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

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

Subtract $4 x$ from $x$ .

$x^{2} - 3 x - 4$

$x^{2} - 3 x - 4$

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