Simplify (x-5)(x-2)

$(x - 5) (x - 2)$

Step 1

Expand $(x - 5) (x - 2)$ using the FOIL Method.

Apply the distributive property.

$x (x - 2) - 5 (x - 2)$

Apply the distributive property.

$x \cdot x + x \cdot - 2 - 5 (x - 2)$

Apply the distributive property.

$x \cdot x + x \cdot - 2 - 5 x - 5 \cdot - 2$

$x \cdot x + x \cdot - 2 - 5 x - 5 \cdot - 2$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

Move $- 2$ to the left of $x$ .

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

Multiply $- 5$ by $- 2$ .

$x^{2} - 2 x - 5 x + 10$

$x^{2} - 2 x - 5 x + 10$

Subtract $5 x$ from $- 2 x$ .

$x^{2} - 7 x + 10$

$x^{2} - 7 x + 10$

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