Question

evaluate (1002)^3 using identity​

Answer 1

HeRe Is Your Ans ⤵

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Identity :-

(A + B)³ = A³ + B³ + 3(A)²B + 3A(B)²

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=> (1002)³

=> (1001 + 1)³

=> (1001)³ + (1)³ + 3×(1001)²× 1 + 3×1001 × (1)²

=> 1003003001 + 1 + 3 × 1002001 + 3003

=> 1006012008

Verification :-

(1002)³ = 1006012008

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Answer 2

Step-by-step explanation:

${(1000 + 2)}^{3} \\ (1000 + 2){ ({1000}^{2} - 2.1000.2 + {2}^{2} }) \\ {(1002)}(1000004 - 4000) \\ (1002)(996004)$