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"The verb 'be' can be an auxiliary or a main verb used as an action verb and stands alone in all tenses."
'Be' is equal to Am, Is and Are, They are called BE forms, but Be can not replace Am, Is and Are. It can be used with Can, May, Will. It is used in the Present Tense and Future Continuous Tense, with auxiliaries.
It is also very important verb used as an action verb and stands alone in all tenses including to be, be, am, been, is, was, are, wasn’t, are not, were, aren’t, weren’t, was not, and were not. It also needs to be paired up with another verb in order to create a complete verb phrase. It can be present or past and singular or plural. It is used to make negative sentences by adding the word “not”.
We use "be able to" to talk about ability.
Although we look at be able to here, it is not a modal verb. It is simply the verb "be" plus an adjective "able" followed by the infinitive. "Able" is an adjective meaning: having the power, skill or means to do something. We look at "be able to" here because we sometimes use it instead of can and could.
"Auxiliary-cum-verbs" are :
These 11 auxiliaries are also used as verbs, therefore, they are called Auxiliary–cum–verbs.
These are used to form Tenses. ( Please refer Tense Table).
"Pure Auxiliary verbs" are :
These 20 auxiliaries only support normal verbs, therefore, they are called Pure Auxiliary Verbs. They are also called Models or Model Auxiliary Verbs.