Simplify (a+8)(a-6)

$(a + 8) (a - 6)$

Step 1

Expand $(a + 8) (a - 6)$ using the FOIL Method.

Apply the distributive property.

$a (a - 6) + 8 (a - 6)$

Apply the distributive property.

$a \cdot a + a \cdot - 6 + 8 (a - 6)$

Apply the distributive property.

$a \cdot a + a \cdot - 6 + 8 a + 8 \cdot - 6$

$a \cdot a + a \cdot - 6 + 8 a + 8 \cdot - 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $a$ by $a$ .

$a^{2} + a \cdot - 6 + 8 a + 8 \cdot - 6$

Move $- 6$ to the left of $a$ .

$a^{2} - 6 \cdot a + 8 a + 8 \cdot - 6$

Multiply $8$ by $- 6$ .

$a^{2} - 6 a + 8 a - 48$

$a^{2} - 6 a + 8 a - 48$

Add $- 6 a$ and $8 a$ .

$a^{2} + 2 a - 48$

$a^{2} + 2 a - 48$

Related Questions