Simplify (a+4)(a-2)

$(a + 4) (a - 2)$

Step 1

Expand $(a + 4) (a - 2)$ using the FOIL Method.

Apply the distributive property.

$a (a - 2) + 4 (a - 2)$

Apply the distributive property.

$a \cdot a + a \cdot - 2 + 4 (a - 2)$

Apply the distributive property.

$a \cdot a + a \cdot - 2 + 4 a + 4 \cdot - 2$

$a \cdot a + a \cdot - 2 + 4 a + 4 \cdot - 2$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $a$ by $a$ .

$a^{2} + a \cdot - 2 + 4 a + 4 \cdot - 2$

Move $- 2$ to the left of $a$ .

$a^{2} - 2 \cdot a + 4 a + 4 \cdot - 2$

Multiply $4$ by $- 2$ .

$a^{2} - 2 a + 4 a - 8$

$a^{2} - 2 a + 4 a - 8$

Add $- 2 a$ and $4 a$ .

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

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

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