Simplify (x-7)(x+4)

$(x - 7) (x + 4)$

Step 1

Expand $(x - 7) (x + 4)$ using the FOIL Method.

Apply the distributive property.

$x (x + 4) - 7 (x + 4)$

Apply the distributive property.

$x \cdot x + x \cdot 4 - 7 (x + 4)$

Apply the distributive property.

$x \cdot x + x \cdot 4 - 7 x - 7 \cdot 4$

$x \cdot x + x \cdot 4 - 7 x - 7 \cdot 4$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 4 - 7 x - 7 \cdot 4$

Move $4$ to the left of $x$ .

$x^{2} + 4 \cdot x - 7 x - 7 \cdot 4$

Multiply $- 7$ by $4$ .

$x^{2} + 4 x - 7 x - 28$

$x^{2} + 4 x - 7 x - 28$

Subtract $7 x$ from $4 x$ .

$x^{2} - 3 x - 28$

$x^{2} - 3 x - 28$

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