Simplify (x+12)^2

${(x + 12)}^{2}$

Step 1

Rewrite ${(x + 12)}^{2}$ as $(x + 12) (x + 12)$ .

$(x + 12) (x + 12)$

Step 2

Expand $(x + 12) (x + 12)$ using the FOIL Method.

Apply the distributive property.

$x (x + 12) + 12 (x + 12)$

Apply the distributive property.

$x \cdot x + x \cdot 12 + 12 (x + 12)$

Apply the distributive property.

$x \cdot x + x \cdot 12 + 12 x + 12 \cdot 12$

$x \cdot x + x \cdot 12 + 12 x + 12 \cdot 12$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 12 + 12 x + 12 \cdot 12$

Move $12$ to the left of $x$ .

$x^{2} + 12 \cdot x + 12 x + 12 \cdot 12$

Multiply $12$ by $12$ .

$x^{2} + 12 x + 12 x + 144$

$x^{2} + 12 x + 12 x + 144$

Add $12 x$ and $12 x$ .

$x^{2} + 24 x + 144$

$x^{2} + 24 x + 144$

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