Facebook is one of those Web phenomena that impress everyone with numbers. To cite some: about 250 million users are on Facebook, and together they spend more than 5 billion minutes on Facebook… every day. These numbers suggest that we should start thinking about how to use Facebook for blogging or vice versa.

We did some research to find out how the integration of Facebook with WordPress and vice versa works, or — in other words — how you can present your WordPress blog on Facebook or use the functionality of Facebook on your WordPress-powered blog. Both of these can be achieved with a set of WordPress plug-ins, a couple of which we’ll present here in detail.

Connect your Blog to your facebook and show your blogs on your wall.
This article show how, in detail you get explained how to use facebook connect and the facebook API

Google half-way cancelled their SOAP API a while ago, but they now* offer a parametrized URL that returns a JSON data set. Google says this REST approach is useful for "Flash developers, and those developers that have a need to access the AJAX Search API from other Non-Javascript environments." This may be even simpler to use than the SOAP API, though I wonder how long (and how well) it's going to be working. Here's an example query:

I used the Google Search SOAP API on several site some time ago and because the API doesn't work for all the time I moved to the Yahoo Search API. Actually I don't like the Yahoo results (the quality of results might be the reason that many people doesn't use Yahoo to search the net). The REST search API from Google is a good alternative, even if you need to re-write your whole application. Your can search in different Google search product and you have plenty parameter to filter your result:
http://code.google.com/apis/ajaxsearch/documentation/reference.html#_intro_fonje