Question

Evaluate (1002)^3 using identities

Answer 1

solution:-

Identity :-

(A + B)³ = A³ + B³ + 3(A)²B + 3A(B)²

*********

=> (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

Answer:

(1002)³

(1000+2)³

(1000)³+(2)³+3(1000)²(2)+3(1000)(2)²

{ ( a+b)³ = a³+b³+3a²b+3ab²}

1000000000+8+6000000+12000

1,006,012,008

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