Simplify (x-7)(x+5)

$(x - 7) (x + 5)$

Step 1

Expand $(x - 7) (x + 5)$ using the FOIL Method.

Apply the distributive property.

$x (x + 5) - 7 (x + 5)$

Apply the distributive property.

$x \cdot x + x \cdot 5 - 7 (x + 5)$

Apply the distributive property.

$x \cdot x + x \cdot 5 - 7 x - 7 \cdot 5$

$x \cdot x + x \cdot 5 - 7 x - 7 \cdot 5$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 5 - 7 x - 7 \cdot 5$

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

$x^{2} + 5 \cdot x - 7 x - 7 \cdot 5$

Multiply $- 7$ by $5$ .

$x^{2} + 5 x - 7 x - 35$

$x^{2} + 5 x - 7 x - 35$

Subtract $7 x$ from $5 x$ .

$x^{2} - 2 x - 35$

$x^{2} - 2 x - 35$

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