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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify terms.

Combine the opposite terms in $7 h (7 h) + 7 h \cdot 2 - 2 (7 h) - 2 \cdot 2$ .

Reorder the factors in the terms $7 h \cdot 2$ and $- 2 (7 h)$ .

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

Subtract $2 \cdot 7 h$ from $2 \cdot 7 h$ .

$7 h (7 h) + 0 - 2 \cdot 2$

Add $7 h (7 h)$ and $0$ .

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

Simplify each term.

Rewrite using the commutative property of multiplication.

$7 \cdot 7 h \cdot h - 2 \cdot 2$

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

Move $h$ .

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

Multiply $h$ by $h$ .

$7 \cdot 7 h^{2} - 2 \cdot 2$

Multiply $7$ by $7$ .

$49 h^{2} - 2 \cdot 2$

Multiply $- 2$ by $2$ .

$49 h^{2} - 4$