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> たこ焼きはタコと小麦粉と卵で作ることができます

は particle there is used as topic marker.

で particle there is used as material marker.

  1. can you explain me what role of が there? object of できます or because "new information" to listener or something else？

  2. is でき a verb like in english? does it always come at the end of sentence especially if there are verbs more than once?
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2017-09-07T15:27:44.270
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2017-09-08T15:55:49.883
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particle-が
が in たこ焼きはタコと小麦粉と卵で作ることができます
できる in the sense of "to be able to do something" is a little unusual as verbs
go, in that what you would normally think of as the object (the nominalised
action that you can do) always takes the subject particle が. できる never takes
the particle を, and is used as follows:

> 私は数学ができる。 I can do maths.  
>  私は平泳ぎができる。 I can do the breaststroke.  
>  私は高く飛ぶことができる。 I can jump high.

The reason behind this is probably because できる is originally an intransitive
verb with the basic meaning of "to come into existence", "to be made", "to
take shape". It's still commonly used in this sense, in sentences like:

> 新しい城ができた。 "A new castle has **been built**."  
>  車は速く動くようにできている。 "Cars **are made** to move fast."

This sense can also be extended to less literal usages, such as:

> 私は彼氏ができた。 "I got myself a boyfriend."  
>  (literally: "As for me, a boyfriend **came into existence**.")

And I believe the sense we're interested in here, of "being able to do
something", is actually an extension of this kind of usage.

> 私は平泳ぎができる。 "I can do the breaststroke."  
>  (literally: "As for me, the breaststroke **takes shape**.")  
>  私は高く飛ぶことができる。 "I can jump high."  
>  (literally: "As for me, the thing of jumping high **takes shape**.")

Of course, nobody really thinks of it in this way - for all practical
purposes, できる is used in the same way as the English "can do". But because of
these roots, grammatically it takes the action itself as a subject, not an
object.

The relationship between Japanese できる and English "can do" in this usage is
actually almost identical to that between Japanese ある and English "have". In
both cases the root meaning of the verb is intransitive (できる = "to come into
existence", ある = "to exist"), but they are also used to express a meaning that
is expressed with a transitive verb in English ("to be able to do" and "to
have"). In both cases the object of the relevant verb in English becomes the
subject in Japanese:

> 彼は **お金が** ある。 "He has **money**."  
>  彼は **数学が** できる。 "He can do **maths**."

Whilst what would be the subject in English - the person who has the object /
is able to do the action - can either be the topic of the sentence, or
alternatively can be stated as an indirect object with に. In basic sentences
this に will generally also be topicalised:

> **彼は** お金がある = **彼には** お金がある  
>  **彼は** 数学ができる = **彼には** 数学ができる

But the に can also occur on its own, for instance in questions:

> **彼に** 何がある？ "What does he have?"  
>  **彼に** 何ができる？ "What can he do?"
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2017-09-07T16:33:22.080
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answer