Simplify (a+5)(a-3)

$(a + 5) (a - 3)$

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

Apply the distributive property.

$a (a - 3) + 5 (a - 3)$

Apply the distributive property.

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

Apply the distributive property.

$a \cdot a + a \cdot - 3 + 5 a + 5 \cdot - 3$

$a \cdot a + a \cdot - 3 + 5 a + 5 \cdot - 3$

Simplify and combine like terms.

Simplify each term.

Multiply $a$ by $a$ .

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

Move $- 3$ to the left of $a$ .

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

Multiply $5$ by $- 3$ .

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

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

Add $- 3 a$ and $5 a$ .

$a^{2} + 2 a - 15$

$a^{2} + 2 a - 15$

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