Simplify (8+y)(8-y)

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $8$ by $8$ .

$64 + 8 (- y) + y \cdot 8 + y (- y)$

Multiply $- 1$ by $8$ .

$64 - 8 y + y \cdot 8 + y (- y)$

Move $8$ to the left of $y$ .

$64 - 8 y + 8 \cdot y + y (- y)$

Rewrite using the commutative property of multiplication.

$64 - 8 y + 8 y - y \cdot y$

Multiply $y$ by $y$ by adding the exponents.

Move $y$ .

$64 - 8 y + 8 y - (y \cdot y)$

Multiply $y$ by $y$ .

$64 - 8 y + 8 y - y^{2}$

$64 - 8 y + 8 y - y^{2}$

$64 - 8 y + 8 y - y^{2}$

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

$64 + 0 - y^{2}$

Add $64$ and $0$ .

$64 - y^{2}$

$64 - y^{2}$

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