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 $- 5 y$ .

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

Subtract $5 y$ from $5 y$ .

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

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 $5$ .

$y^{2} - 25$