Evaluate (x+a)^2

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

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

$(x + a) (x + a)$

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

Apply the distributive property.

$x (x + a) + a (x + a)$

Apply the distributive property.

$x \cdot x + x a + a (x + a)$

Apply the distributive property.

$x \cdot x + x a + a x + a \cdot a$

$x \cdot x + x a + a x + a \cdot a$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x a + a x + a \cdot a$

Multiply $a$ by $a$ .

$x^{2} + x a + a x + a^{2}$

$x^{2} + x a + a x + a^{2}$

Add $x a$ and $a x$ .

Reorder $x$ and $a$ .

$x^{2} + a x + a x + a^{2}$

Add $a x$ and $a x$ .

$x^{2} + 2 a x + a^{2}$

$x^{2} + 2 a x + a^{2}$

$x^{2} + 2 a x + a^{2}$

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