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 $- 8 y$ .

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

Subtract $8 y$ from $8 y$ .

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

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 $8$ .

$y^{2} - 64$