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If (10)^9+2(11)^2(10)^7 +….+10 (11)^9 = ...

If `(10)^9+2(11)^2(10)^7 +….+10 (11)^9 = k(10)^9`

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"^10(C_0)^2 - "^10(C_1)^2 + "^10(C_2)^2 - ...... - ( "^10C_9)^2 + ( "^10C_10)^2=