Simplify (2w+5)(2w-5)

$(2 w + 5) (2 w - 5)$

Step 1

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

Apply the distributive property.

$2 w (2 w - 5) + 5 (2 w - 5)$

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

Multiply $w$ by $w$ by adding the exponents.

Move $w$ .

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

Multiply $w$ by $w$ .

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

Multiply $2$ by $2$ .

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

Multiply $- 5$ by $2$ .

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

Multiply $2$ by $5$ .

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

Multiply $5$ by $- 5$ .

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

Add $- 10 w$ and $10 w$ .

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

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

$4 w^{2} - 25$