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LingakuLingaku[verb て-form] + くる
てくる goes after the て-form of a verb and adds "coming" to it: you do something and come back, something moves towards you, or a change has built up to now. As a helper verb, くる is written in hiragana.
You go somewhere, do something, and return. いってきます行ってきます, "I'll go and come back", is what you say when you leave home.
The action comes in your direction: someone runs up, sends you something, speaks to you. ていく is the opposite, moving away.
A verb that already means coming does not take てくる: ×来てくる.
With a verb of change, てくる says the change has been building up to the present, or has just set in. ていく carries a change on from now into the future.
Over a stretch of time, てくる says an action has gone on from the past up to the present.