Simplify (a+10)(a-8)

$(a + 10) (a - 8)$

Step 1

Expand $(a + 10) (a - 8)$ using the FOIL Method.

Apply the distributive property.

$a (a - 8) + 10 (a - 8)$

Apply the distributive property.

$a \cdot a + a \cdot - 8 + 10 (a - 8)$

Apply the distributive property.

$a \cdot a + a \cdot - 8 + 10 a + 10 \cdot - 8$

$a \cdot a + a \cdot - 8 + 10 a + 10 \cdot - 8$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $a$ by $a$ .

$a^{2} + a \cdot - 8 + 10 a + 10 \cdot - 8$

Move $- 8$ to the left of $a$ .

$a^{2} - 8 \cdot a + 10 a + 10 \cdot - 8$

Multiply $10$ by $- 8$ .

$a^{2} - 8 a + 10 a - 80$

$a^{2} - 8 a + 10 a - 80$

Add $- 8 a$ and $10 a$ .

$a^{2} + 2 a - 80$

$a^{2} + 2 a - 80$

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