Simplify (x+h)^2-x^2

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

Simplify each term.

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

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

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

$x \cdot x + x h + h x + h \cdot h - x^{2}$

$x \cdot x + x h + h x + h \cdot h - x^{2}$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x h + h x + h \cdot h - x^{2}$

Multiply $h$ by $h$ .

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

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

Add $x h$ and $h x$ .

Reorder $x$ and $h$ .

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

Add $h x$ and $h x$ .

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

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

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

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

Combine the opposite terms in $x^{2} + 2 h x + h^{2} - x^{2}$ .

Subtract $x^{2}$ from $x^{2}$ .

$2 h x + h^{2} + 0$

Add $2 h x + h^{2}$ and $0$ .

$2 h x + h^{2}$

$2 h x + h^{2}$

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