Simplify (a+4)(a+4)

$(a + 4) (a + 4)$

Step 1

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

Apply the distributive property.

$a (a + 4) + 4 (a + 4)$

Apply the distributive property.

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

Apply the distributive property.

$a \cdot a + a \cdot 4 + 4 a + 4 \cdot 4$

$a \cdot a + a \cdot 4 + 4 a + 4 \cdot 4$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $a$ by $a$ .

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

Move $4$ to the left of $a$ .

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

Multiply $4$ by $4$ .

$a^{2} + 4 a + 4 a + 16$

$a^{2} + 4 a + 4 a + 16$

Add $4 a$ and $4 a$ .

$a^{2} + 8 a + 16$

$a^{2} + 8 a + 16$

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