Simplify (y+11)(y-11)

$(y + 11) (y - 11)$

Step 1

Expand $(y + 11) (y - 11)$ using the FOIL Method.

Apply the distributive property.

$y (y - 11) + 11 (y - 11)$

Apply the distributive property.

$y \cdot y + y \cdot - 11 + 11 (y - 11)$

Apply the distributive property.

$y \cdot y + y \cdot - 11 + 11 y + 11 \cdot - 11$

Step 2

Simplify terms.

Combine the opposite terms in $y \cdot y + y \cdot - 11 + 11 y + 11 \cdot - 11$ .

Reorder the factors in the terms $y \cdot - 11$ and $11 y$ .

$y \cdot y - 11 y + 11 y + 11 \cdot - 11$

Add $- 11 y$ and $11 y$ .

$y \cdot y + 0 + 11 \cdot - 11$

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

$y \cdot y + 11 \cdot - 11$

Simplify each term.

Multiply $y$ by $y$ .

$y^{2} + 11 \cdot - 11$

Multiply $11$ by $- 11$ .

$y^{2} - 121$