американской

In a sentence

• Я прочитал интересную статью из американской газеты.

  I read an interesting article from an American newspaper.

  Here 'американской' is an adjective in the genitive case, agreeing with 'газеты' (newspaper), indicating possession or association.

• Мы заказали блюда из американской кухни.

  We ordered dishes from American cuisine.

  In this case, 'американской' is also an adjective in the genitive case, describing 'кухни' (cuisine) to specify its origin.

• Она гордится своим американской гражданством.

  She is proud of her American citizenship.

  Here 'американской' is an adjective in the instrumental case, correlating with 'гражданством' (citizenship) to denote the quality or attribute belonging to it.