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 $- 7$ .

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

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

Subtract $5 x$ from $- 7 x$ .

$x^{2} - 12 x + 35$

$x^{2} - 12 x + 35$

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