Verify the algebraic identity (a-b)3= a3 - b3 - 3ab (a-b)
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Answered by
18
Step-by-step explanation:
To prove:- (a-b)³=a³-b³-3ab(a-b)
Prove:- (a-b)³=(a-b)²(a-b)
= (a²-2ab+b²)(a-b)........as (a-b)²=a²-2ab+b²
=a³-2a²b+ab²-a²b+2ab²-b³
=a³-b³-3a²b+3ab²
=a³-b³-3ab(a-b)
Answered by
5
Step-by-step explanation:
To prove:- (a-b)³=a³-b³-3ab(a-b)
Prove:- (a-b)³=(a-b)²(a-b)
= (a²-2ab+b²)(a-b) as (a-b)²=a²-2ab+b²
=a³-2a²b+ab²-a²b+2ab²-b³
=a³-b³-3a²b+3ab²
=a³-b³-3ab(a-b)
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