Find the Product (r+s)^2

${(r + s)}^{2}$

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

$(r + s) (r + s)$

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

Apply the distributive property.

$r (r + s) + s (r + s)$

Apply the distributive property.

$r \cdot r + r s + s (r + s)$

Apply the distributive property.

$r \cdot r + r s + s r + s \cdot s$

$r \cdot r + r s + s r + s \cdot s$

Simplify and combine like terms.

Simplify each term.

Multiply $r$ by $r$ .

$r^{2} + r s + s r + s \cdot s$

Multiply $s$ by $s$ .

$r^{2} + r s + s r + s^{2}$

$r^{2} + r s + s r + s^{2}$

Add $r s$ and $s r$ .

Reorder $s$ and $r$ .

$r^{2} + r s + r s + s^{2}$

Add $r s$ and $r s$ .

$r^{2} + 2 r s + s^{2}$

$r^{2} + 2 r s + s^{2}$

$r^{2} + 2 r s + s^{2}$

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