Simplify (x+6)^2

${(x + 6)}^{2}$

Step 1

Rewrite ${(x + 6)}^{2}$ as $(x + 6) (x + 6)$ .

$(x + 6) (x + 6)$

Step 2

Expand $(x + 6) (x + 6)$ using the FOIL Method.

Apply the distributive property.

$x (x + 6) + 6 (x + 6)$

Apply the distributive property.

$x \cdot x + x \cdot 6 + 6 (x + 6)$

Apply the distributive property.

$x \cdot x + x \cdot 6 + 6 x + 6 \cdot 6$

$x \cdot x + x \cdot 6 + 6 x + 6 \cdot 6$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 6 + 6 x + 6 \cdot 6$

Move $6$ to the left of $x$ .

$x^{2} + 6 \cdot x + 6 x + 6 \cdot 6$

Multiply $6$ by $6$ .

$x^{2} + 6 x + 6 x + 36$

$x^{2} + 6 x + 6 x + 36$

Add $6 x$ and $6 x$ .

$x^{2} + 12 x + 36$

$x^{2} + 12 x + 36$

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