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QUICK ANSWER
"Por qué" is a form of "por qué", a phrase which is often translated as "why". "Cuál es tu materia favorita" is a form of "cuál es tu materia favorita", a phrase which is often translated as "what your favorite subject is". Learn more about the difference between "por qué" and "cuál es tu materia favorita" below.
por qué(
pohr
keh
)A phrase is a group of words commonly used together (e.g., once upon a time).
A masculine noun is used with masculine articles and adjectives (e.g., el hombre guapo, el sol amarillo).
cuál es tu materia favorita(
kwahl
ehs
too
mah
-
teh
-
ryah
fah
-
boh
-
ree
-
tah
)A phrase is a group of words commonly used together (e.g., once upon a time).
1. (informal) (in statements; singular)
A word or phrase used to refer to the second person informal “tú” by their conjugation or implied context (e.g., How are you?).
a. what your favorite subject is (United States)
Regionalism used in the United States
Todavía no me has dicho cuál es tu materia favorita. - Es que me gustan todas mucho.You haven't told me yet what your favorite subject is. - The thing is, I like them all a lot.
b. what your favourite subject is (United Kingdom)
Regionalism used in the United Kingdom
En el cuestionario, te preguntan cuál es tu materia favorita.In the questionnaire, they ask you what your favourite subject is.
2. (informal) (in questions; singular)
A word or phrase used to refer to the second person informal “tú” by their conjugation or implied context (e.g., How are you?).
a. what's your favorite subject (United States)
Regionalism used in the United States
¿Cuál es tu materia favorita este trimestre? - El francés. ¿Y la tuya?What's your favorite subject this term? - French. And yours?
b. what's your favourite subject (United Kingdom)
Regionalism used in the United Kingdom
¿Cuál es tu materia favorita de las que elegiste? - La historia sin duda.What's your favourite subject among the ones you chose? - History without a doubt.