Simplify (r+6)^2+(14r-11+r^2)

${(r + 6)}^{2} + (14 r - 11 + r^{2})$

Remove parentheses.

${(r + 6)}^{2} + 14 r - 11 + r^{2}$

Simplify each term.

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

$(r + 6) (r + 6) + 14 r - 11 + r^{2}$

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

Apply the distributive property.

$r (r + 6) + 6 (r + 6) + 14 r - 11 + r^{2}$

Apply the distributive property.

$r \cdot r + r \cdot 6 + 6 (r + 6) + 14 r - 11 + r^{2}$

Apply the distributive property.

$r \cdot r + r \cdot 6 + 6 r + 6 \cdot 6 + 14 r - 11 + r^{2}$

Simplify and combine like terms.

Simplify each term.

Multiply $r$ by $r$ .

$r^{2} + r \cdot 6 + 6 r + 6 \cdot 6 + 14 r - 11 + r^{2}$

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

$r^{2} + 6 \cdot r + 6 r + 6 \cdot 6 + 14 r - 11 + r^{2}$

Multiply $6$ by $6$ .

$r^{2} + 6 r + 6 r + 36 + 14 r - 11 + r^{2}$

Add $6 r$ and $6 r$ .

$r^{2} + 12 r + 36 + 14 r - 11 + r^{2}$

Simplify by adding terms.

Add $r^{2}$ and $r^{2}$ .

$2 r^{2} + 12 r + 36 + 14 r - 11$

Add $12 r$ and $14 r$ .

$2 r^{2} + 26 r + 36 - 11$

Subtract $11$ from $36$ .

$2 r^{2} + 26 r + 25$