Evaluate 2(x+h)^2

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

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

$2 ((x + h) (x + h))$

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

Apply the distributive property.

$2 (x (x + h) + h (x + h))$

Apply the distributive property.

$2 (x \cdot x + x h + h (x + h))$

Apply the distributive property.

$2 (x \cdot x + x h + h x + h \cdot h)$

$2 (x \cdot x + x h + h x + h \cdot h)$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$2 (x^{2} + x h + h x + h \cdot h)$

Multiply $h$ by $h$ .

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

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

Add $x h$ and $h x$ .

Reorder $x$ and $h$ .

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

Add $h x$ and $h x$ .

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

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

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

Apply the distributive property.

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

Multiply $2$ by $2$ .

$2 x^{2} + 4 h x + 2 h^{2}$

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