Simplify (y+5)(y-5)

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

Step 1

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.

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

Step 2

Simplify terms.

Combine the opposite terms in $y \cdot y + y \cdot - 5 + 5 y + 5 \cdot - 5$ .

Reorder the factors in the terms $y \cdot - 5$ and $5 y$ .

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

Add $- 5 y$ and $5 y$ .

$y \cdot y + 0 + 5 \cdot - 5$

Add $y \cdot y$ and $0$ .

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

Simplify each term.

Multiply $y$ by $y$ .

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

Multiply $5$ by $- 5$ .

$y^{2} - 25$