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This problem trains for: SAT-I, AMC-8, GMAT.

Which one of the term combinations could be added to the expression below in order to obtain a perfect square?

equation

We can attempt to match the expression to the two identities that express perfect squares:

equation

equation

This can be done in many different ways. The choices suggest the following possibilities:

equation

equation

or

equation

equation

or

equation

equation

Adding the other choice or terms does not result in an expression that matches any of the identities for perfect squares:

equation