Evaluate (3+x)^2

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

Step 1

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

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

Step 2

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $3$ by $3$ .

$9 + 3 x + x \cdot 3 + x \cdot x$

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

$9 + 3 x + 3 \cdot x + x \cdot x$

Multiply $x$ by $x$ .

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

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

Add $3 x$ and $3 x$ .

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

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

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