Simplify (2h+7)(2h-7)

$(2 h + 7) (2 h - 7)$

Step 1

Expand $(2 h + 7) (2 h - 7)$ using the FOIL Method.

Apply the distributive property.

$2 h (2 h - 7) + 7 (2 h - 7)$

Apply the distributive property.

$2 h (2 h) + 2 h \cdot - 7 + 7 (2 h - 7)$

Apply the distributive property.

$2 h (2 h) + 2 h \cdot - 7 + 7 (2 h) + 7 \cdot - 7$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$2 \cdot 2 h \cdot h + 2 h \cdot - 7 + 7 (2 h) + 7 \cdot - 7$

Multiply $h$ by $h$ by adding the exponents.

Move $h$ .

$2 \cdot 2 (h \cdot h) + 2 h \cdot - 7 + 7 (2 h) + 7 \cdot - 7$

Multiply $h$ by $h$ .

$2 \cdot 2 h^{2} + 2 h \cdot - 7 + 7 (2 h) + 7 \cdot - 7$

Multiply $2$ by $2$ .

$4 h^{2} + 2 h \cdot - 7 + 7 (2 h) + 7 \cdot - 7$

Multiply $- 7$ by $2$ .

$4 h^{2} - 14 h + 7 (2 h) + 7 \cdot - 7$

Multiply $2$ by $7$ .

$4 h^{2} - 14 h + 14 h + 7 \cdot - 7$

Multiply $7$ by $- 7$ .

$4 h^{2} - 14 h + 14 h - 49$

Add $- 14 h$ and $14 h$ .

$4 h^{2} + 0 - 49$

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

$4 h^{2} - 49$