Simplify (x+11)^2

${(x + 11)}^{2}$

Step 1

Rewrite ${(x + 11)}^{2}$ as $(x + 11) (x + 11)$ .

$(x + 11) (x + 11)$

Step 2

Expand $(x + 11) (x + 11)$ using the FOIL Method.

Apply the distributive property.

$x (x + 11) + 11 (x + 11)$

Apply the distributive property.

$x \cdot x + x \cdot 11 + 11 (x + 11)$

Apply the distributive property.

$x \cdot x + x \cdot 11 + 11 x + 11 \cdot 11$

$x \cdot x + x \cdot 11 + 11 x + 11 \cdot 11$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 11 + 11 x + 11 \cdot 11$

Move $11$ to the left of $x$ .

$x^{2} + 11 \cdot x + 11 x + 11 \cdot 11$

Multiply $11$ by $11$ .

$x^{2} + 11 x + 11 x + 121$

$x^{2} + 11 x + 11 x + 121$

Add $11 x$ and $11 x$ .

$x^{2} + 22 x + 121$

$x^{2} + 22 x + 121$

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