Simplify (y+5)^2

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

Step 1

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

$(y + 5) (y + 5)$

Step 2

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

Apply the distributive property.

$y (y + 5) + 5 (y + 5)$

Apply the distributive property.

$y \cdot y + y \cdot 5 + 5 (y + 5)$

Apply the distributive property.

$y \cdot y + y \cdot 5 + 5 y + 5 \cdot 5$

$y \cdot y + y \cdot 5 + 5 y + 5 \cdot 5$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

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

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

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

Multiply $5$ by $5$ .

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

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

Add $5 y$ and $5 y$ .

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

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

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