Simplify (y+8)(y-8)

$(y + 8) (y - 8)$

Step 1

Expand $(y + 8) (y - 8)$ using the FOIL Method.

Apply the distributive property.

$y (y - 8) + 8 (y - 8)$

Apply the distributive property.

$y \cdot y + y \cdot - 8 + 8 (y - 8)$

Apply the distributive property.

$y \cdot y + y \cdot - 8 + 8 y + 8 \cdot - 8$

Step 2

Simplify terms.

Combine the opposite terms in $y \cdot y + y \cdot - 8 + 8 y + 8 \cdot - 8$ .

Reorder the factors in the terms $y \cdot - 8$ and $8 y$ .

$y \cdot y - 8 y + 8 y + 8 \cdot - 8$

Add $- 8 y$ and $8 y$ .

$y \cdot y + 0 + 8 \cdot - 8$

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

$y \cdot y + 8 \cdot - 8$

Simplify each term.

Multiply $y$ by $y$ .

$y^{2} + 8 \cdot - 8$

Multiply $8$ by $- 8$ .

$y^{2} - 64$