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Países baixos vs. holanda

Países Baixos and Holanda are both Portuguese terms used to refer to the Netherlands, but they have different scopes and usages.

Países Baixos

B1
Países Baixos is the official name for the Netherlands in Portuguese. It refers to the entire country, including all its provinces and territories.
Os Países Baixos são conhecidos por suas tulipas e moinhos de vento.
(The Netherlands is known for its tulips and windmills.)
A capital dos Países Baixos é Amsterdã.
(The capital of the Netherlands is Amsterdam.)

Holanda

A2
Holanda is a more colloquial term that technically refers only to two provinces of the Netherlands: North Holland and South Holland. However, it's often used informally to refer to the entire country.
Muitos turistas visitam a Holanda para ver os campos de tulipas.
(Many tourists visit Holland to see the tulip fields.)
O queijo gouda é originário da Holanda.
(Gouda cheese originates from Holland.)

Summary

While Países Baixos is the correct and official term for the entire country of the Netherlands in Portuguese, Holanda is a more informal term often used colloquially. Países Baixos is more appropriate in formal contexts, while Holanda is commonly used in everyday speech, despite technically referring to only a part of the country.