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 $x$ .

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

Move $- 1$ to the left of $x$ .

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

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

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

Multiply $4$ by $- 1$ .

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

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

Add $- x$ and $4 x$ .

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

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

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