Simplify (x+5)(x-7)

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

Move $- 7$ to the left of $x$ .

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

Multiply $5$ by $- 7$ .

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

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

Add $- 7 x$ and $5 x$ .

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

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

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