Question

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Verify the identity: (a+b)^3 = a^3+ 3a^2+ 3ab^2+b^2.​

Answer 1

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Question :-

Verify the identity :- (a+b)³ = a³ + 3a²b + 3ab² + b³

Answer :-

(a+b)³ = (a+b)²(a+b)

= (a² + 2ab + b²)(a + b)

= a³ + 2a²b + ab² + 2ab² + a²b + b³

= a³ + 3a²b + 3ab² + b³

Hence verified.