Simplify (x+9)^2

${(x + 9)}^{2}$

Step 1

Rewrite ${(x + 9)}^{2}$ as $(x + 9) (x + 9)$ .

$(x + 9) (x + 9)$

Step 2

Expand $(x + 9) (x + 9)$ using the FOIL Method.

Apply the distributive property.

$x (x + 9) + 9 (x + 9)$

Apply the distributive property.

$x \cdot x + x \cdot 9 + 9 (x + 9)$

Apply the distributive property.

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

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

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 9 + 9 x + 9 \cdot 9$

Move $9$ to the left of $x$ .

$x^{2} + 9 \cdot x + 9 x + 9 \cdot 9$

Multiply $9$ by $9$ .

$x^{2} + 9 x + 9 x + 81$

$x^{2} + 9 x + 9 x + 81$

Add $9 x$ and $9 x$ .

$x^{2} + 18 x + 81$

$x^{2} + 18 x + 81$

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