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(52)3

(52)3 =(50 + 2)3


(50 + 2)3 =(50)3 + [ 3 ×(50)2 ×(2)] + [ 3 ×(50)×(2)2] +(2)3


{ (a + b)3 = a3 + 3a2b + 3ab2 + b3 }


= 125000 +(3 × 2500 × 2)+(3 × 50 × 4) + 8


= 125000 + 15000 + 600 + 8


= 140608


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