Simplify (a+5)(a-5)

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify terms.

Combine the opposite terms in $a \cdot a + a \cdot - 5 + 5 a + 5 \cdot - 5$ .

Reorder the factors in the terms $a \cdot - 5$ and $5 a$ .

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

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

$a \cdot a + 0 + 5 \cdot - 5$

Add $a \cdot a$ and $0$ .

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

Simplify each term.

Multiply $a$ by $a$ .

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

Multiply $5$ by $- 5$ .

$a^{2} - 25$