Simplify (w+x)(w+x)

$(w + x) (w + x)$

Step 1

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

Apply the distributive property.

$w (w + x) + x (w + x)$

Apply the distributive property.

$w \cdot w + w x + x (w + x)$

Apply the distributive property.

$w \cdot w + w x + x w + x \cdot x$

$w \cdot w + w x + x w + x \cdot x$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $w$ by $w$ .

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

Multiply $x$ by $x$ .

$w^{2} + w x + x w + x^{2}$

$w^{2} + w x + x w + x^{2}$

Add $w x$ and $x w$ .

Reorder $x$ and $w$ .

$w^{2} + w x + w x + x^{2}$

Add $w x$ and $w x$ .

$w^{2} + 2 w x + x^{2}$

$w^{2} + 2 w x + x^{2}$

$w^{2} + 2 w x + x^{2}$

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