Simplify (g^3-h)(g^3+h)

$(g^{3} - h) (g^{3} + h)$

Expand $(g^{3} - h) (g^{3} + h)$ using the FOIL Method.

Apply the distributive property.

$g^{3} (g^{3} + h) - h (g^{3} + h)$

Apply the distributive property.

$g^{3} g^{3} + g^{3} h - h (g^{3} + h)$

Apply the distributive property.

$g^{3} g^{3} + g^{3} h - h g^{3} - h \cdot h$

Simplify terms.

Combine the opposite terms in $g^{3} g^{3} + g^{3} h - h g^{3} - h \cdot h$ .

Reorder the factors in the terms $g^{3} h$ and $- h g^{3}$ .

$g^{3} g^{3} + g^{3} h - g^{3} h - h \cdot h$

Subtract $g^{3} h$ from $g^{3} h$ .

$g^{3} g^{3} + 0 - h \cdot h$

Add $g^{3} g^{3}$ and $0$ .

$g^{3} g^{3} - h \cdot h$

Simplify each term.

Multiply $g^{3}$ by $g^{3}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$g^{3 + 3} - h \cdot h$

Add $3$ and $3$ .

$g^{6} - h \cdot h$

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

Move $h$ .

$g^{6} - (h \cdot h)$

Multiply $h$ by $h$ .

$g^{6} - h^{2}$