Find the Exact Value (x+3)^2

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

Step 1

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

$(x + 3) (x + 3)$

Step 2

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

Apply the distributive property.

$x (x + 3) + 3 (x + 3)$

Apply the distributive property.

$x \cdot x + x \cdot 3 + 3 (x + 3)$

Apply the distributive property.

$x \cdot x + x \cdot 3 + 3 x + 3 \cdot 3$

$x \cdot x + x \cdot 3 + 3 x + 3 \cdot 3$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

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

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

Multiply $3$ by $3$ .

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

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

Add $3 x$ and $3 x$ .

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

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

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