Simplify (a+7)(a-5)

$(a + 7) (a - 5)$

Step 1

Expand $(a + 7) (a - 5)$ using the FOIL Method.

Apply the distributive property.

$a (a - 5) + 7 (a - 5)$

Apply the distributive property.

$a \cdot a + a \cdot - 5 + 7 (a - 5)$

Apply the distributive property.

$a \cdot a + a \cdot - 5 + 7 a + 7 \cdot - 5$

$a \cdot a + a \cdot - 5 + 7 a + 7 \cdot - 5$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $a$ by $a$ .

$a^{2} + a \cdot - 5 + 7 a + 7 \cdot - 5$

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

$a^{2} - 5 \cdot a + 7 a + 7 \cdot - 5$

Multiply $7$ by $- 5$ .

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

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

Add $- 5 a$ and $7 a$ .

$a^{2} + 2 a - 35$

$a^{2} + 2 a - 35$

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