Find the Product (m+6)^2

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

Step 1

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

$(m + 6) (m + 6)$

Step 2

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

Apply the distributive property.

$m (m + 6) + 6 (m + 6)$

Apply the distributive property.

$m \cdot m + m \cdot 6 + 6 (m + 6)$

Apply the distributive property.

$m \cdot m + m \cdot 6 + 6 m + 6 \cdot 6$

$m \cdot m + m \cdot 6 + 6 m + 6 \cdot 6$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $m$ by $m$ .

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

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

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

Multiply $6$ by $6$ .

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

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

Add $6 m$ and $6 m$ .

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

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

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