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simplify problem

I have following problem:

In[1]   u=(a+b)^2; v=(c+d)^2;
In[2]   uv=Expand[u+v]
Out[2]  a^2+2ab+b^2+c^2+2cd+d^2

How can I revers the above Operation, in this example from


I want to have (a+b)^2 + (c+d)^2.
Can someone help me, please ?

Tomasz B.

e-mail: bieruta at

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