Simplify (x-3)(x-5)

$(x - 3) (x - 5)$

Step 1

Expand $(x - 3) (x - 5)$ using the FOIL Method.

Apply the distributive property.

$x (x - 5) - 3 (x - 5)$

Apply the distributive property.

$x \cdot x + x \cdot - 5 - 3 (x - 5)$

Apply the distributive property.

$x \cdot x + x \cdot - 5 - 3 x - 3 \cdot - 5$

$x \cdot x + x \cdot - 5 - 3 x - 3 \cdot - 5$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 5 - 3 x - 3 \cdot - 5$

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

$x^{2} - 5 \cdot x - 3 x - 3 \cdot - 5$

Multiply $- 3$ by $- 5$ .

$x^{2} - 5 x - 3 x + 15$

$x^{2} - 5 x - 3 x + 15$

Subtract $3 x$ from $- 5 x$ .

$x^{2} - 8 x + 15$

$x^{2} - 8 x + 15$

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