Expanding rapidly. For example, Bluescope has a market here and overseas, but isn't expanding that market to any large degree. You're looking for smaller companies that are starting to export their product overseas, I'd suggest into Asia.

cancer is an agressive growth

I have an assignment that asks to write a report for a "firm pursuing a strategy of aggressive growth in both Australia and offshore markets". I've looked the definition of aggressive growth up on the internet and understand that it's an investment strategy with higher returns because of a higher degree of risk (I think). But what I don't understand is whether the firm is trying to achieve aggressive growth in order to benefit its investors or investing in another firm with high aggressive growth. Given the phrase "Australian and offshore markets", who is the one achieving aggressive growth here; the firm or a business it is investing in?