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The seventh grade math is completely effective.
If your topic is: Known (2011-a) (2009-a) = 2010.

The answer should be this: let b=(20 1 1-a),

So b(b-2)=20 10, and find b*b+(b-2)(b-2).

B*b-2b=20 10, so (b-1) (b-1) = 201.

b * b+(b-2)(b-2)= 4(b- 1)(b- 1)-2b(b-2)= 4 * 20 1 1-2 * 20 10 = 4024

So (20 1 1-a)? +(2009-a)? =4024