Find the Product (5+x)^2

${(5 + x)}^{2}$

Step 1

Rewrite ${(5 + x)}^{2}$ as $(5 + x) (5 + x)$ .

$(5 + x) (5 + x)$

Step 2

Expand $(5 + x) (5 + x)$ using the FOIL Method.

Apply the distributive property.

$5 (5 + x) + x (5 + x)$

Apply the distributive property.

$5 \cdot 5 + 5 x + x (5 + x)$

Apply the distributive property.

$5 \cdot 5 + 5 x + x \cdot 5 + x \cdot x$

$5 \cdot 5 + 5 x + x \cdot 5 + x \cdot x$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $5$ by $5$ .

$25 + 5 x + x \cdot 5 + x \cdot x$

Move $5$ to the left of $x$ .

$25 + 5 x + 5 \cdot x + x \cdot x$

Multiply $x$ by $x$ .

$25 + 5 x + 5 x + x^{2}$

$25 + 5 x + 5 x + x^{2}$

Add $5 x$ and $5 x$ .

$25 + 10 x + x^{2}$

$25 + 10 x + x^{2}$

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