Find the Product (2y-5)(2y+5)

$(2 y - 5) (2 y + 5)$

Step 1

Expand $(2 y - 5) (2 y + 5)$ using the FOIL Method.

Apply the distributive property.

$2 y (2 y + 5) - 5 (2 y + 5)$

Apply the distributive property.

$2 y (2 y) + 2 y \cdot 5 - 5 (2 y + 5)$

Apply the distributive property.

$2 y (2 y) + 2 y \cdot 5 - 5 (2 y) - 5 \cdot 5$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$2 \cdot 2 y \cdot y + 2 y \cdot 5 - 5 (2 y) - 5 \cdot 5$

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

Move $y$ .

$2 \cdot 2 (y \cdot y) + 2 y \cdot 5 - 5 (2 y) - 5 \cdot 5$

Multiply $y$ by $y$ .

$2 \cdot 2 y^{2} + 2 y \cdot 5 - 5 (2 y) - 5 \cdot 5$

Multiply $2$ by $2$ .

$4 y^{2} + 2 y \cdot 5 - 5 (2 y) - 5 \cdot 5$

Multiply $5$ by $2$ .

$4 y^{2} + 10 y - 5 (2 y) - 5 \cdot 5$

Multiply $2$ by $- 5$ .

$4 y^{2} + 10 y - 10 y - 5 \cdot 5$

Multiply $- 5$ by $5$ .

$4 y^{2} + 10 y - 10 y - 25$

Subtract $10 y$ from $10 y$ .

$4 y^{2} + 0 - 25$

Add $4 y^{2}$ and $0$ .

$4 y^{2} - 25$