Simplify v((a+4)^2)

$v ({(a + 4)}^{2})$

Rewrite ${(a + 4)}^{2}$ as $(a + 4) (a + 4)$ .

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

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

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Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Simplify and combine like terms.

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Simplify each term.

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Multiply $a$ by $a$ .

$v (a^{2} + a \cdot 4 + 4 a + 4 \cdot 4)$

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

$v (a^{2} + 4 \cdot a + 4 a + 4 \cdot 4)$

Multiply $4$ by $4$ .

$v (a^{2} + 4 a + 4 a + 16)$

Add $4 a$ and $4 a$ .

$v (a^{2} + 8 a + 16)$

Apply the distributive property.

$v a^{2} + v (8 a) + v \cdot 16$

Simplify.

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Rewrite using the commutative property of multiplication.

$v a^{2} + 8 v a + v \cdot 16$

Move $16$ to the left of $v$ .

$v a^{2} + 8 v a + 16 \cdot v$

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

Simplify v((a+4)^2)

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