Find the Product (a+3)^2

${(a + 3)}^{2}$

Step 1

Rewrite ${(a + 3)}^{2}$ as $(a + 3) (a + 3)$ .

$(a + 3) (a + 3)$

Step 2

Expand $(a + 3) (a + 3)$ using the FOIL Method.

Apply the distributive property.

$a (a + 3) + 3 (a + 3)$

Apply the distributive property.

$a \cdot a + a \cdot 3 + 3 (a + 3)$

Apply the distributive property.

$a \cdot a + a \cdot 3 + 3 a + 3 \cdot 3$

$a \cdot a + a \cdot 3 + 3 a + 3 \cdot 3$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $a$ by $a$ .

$a^{2} + a \cdot 3 + 3 a + 3 \cdot 3$

Move $3$ to the left of $a$ .

$a^{2} + 3 \cdot a + 3 a + 3 \cdot 3$

Multiply $3$ by $3$ .

$a^{2} + 3 a + 3 a + 9$

$a^{2} + 3 a + 3 a + 9$

Add $3 a$ and $3 a$ .

$a^{2} + 6 a + 9$

$a^{2} + 6 a + 9$

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