Find the Exact Value (x+5)^2

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

Step 1

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

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

Step 2

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 5 + 5 x + 5 \cdot 5$

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

$x^{2} + 5 \cdot x + 5 x + 5 \cdot 5$

Multiply $5$ by $5$ .

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

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

Add $5 x$ and $5 x$ .

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

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

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