Internal competition
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If we have two different sub domain pages that talk about the same service but with different content, how will Google react while ranking?
Example : xxxx.abc.com/company/solutions/service1
Suppose if www.abc.com has good authority, which URL will be more benefited?
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Don't waste it on a subdomain.. if www.abc.com has good authority then place it on www.abc.com/service1
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If these are pages on different sub-domains with different content, then search engines will treat them like they treat any two different pages, just like they will treat www.example.com/service1. There are numerous subdomains on wordpress and other sites with different content but the same topic. The authority of the root domain helps both sub-domains to a point.
"Which URL will be more benefited?" will depend on all the usual ranking factors for the page and sub-domain. If you are trying to boost one more than the other, more links from the root domain or any other source, as well as better content, will be the way to go.
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Thanks for your answer. Want to further clarify that if we have cross linking between these two sub domains, will there be any change in the Google's view?