verify the identity (a+b)3=a3+b3+3a2b+3ab2
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Step-by-step explanation:
solution:
L.H.S:
=(a+b)³
=(a+b)(a²+2ab+b²)
=a(a²+2ab+b²)+b(a²+2ab+b²)
=a³+2a²b+ab²+ba²+2ab²+b³
=a³+2a²b+ba²+2ab²+ab²+b³
=a³+b³+3a²b+3ab²
R.H.S:
=a³+b³+3a²b+3ab²
Therefore L.H.S = R.H.S verified
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