As a verb:
* The carpenter used a gouge to carve a decorative pattern into the wood. (Meaning: to cut or shape with a gouge)
* The unscrupulous contractor tried to gouge the homeowners by charging inflated prices. (Meaning: to overcharge or exploit)
* The sharp rock gouged a deep hole in the tire. (Meaning: to make a deep cut or groove)
As a noun:
* The carpenter used a variety of chisels and gouges to create the intricate sculpture. (Meaning: a tool used for cutting wood)
* The accident left a deep gouge in the side of the car. (Meaning: a deep cut or groove)
Here are some more examples with different meanings:
* The company was accused of gouging its customers with exorbitant prices. (Meaning: to overcharge)
* The sharp knife gouged a deep gash in his arm. (Meaning: to cut deeply)
* The earthquake left a deep gouge in the earth. (Meaning: a deep groove or channel)
Remember that "gouge" can have both literal and figurative meanings. The context will help you determine the intended meaning.