Prove that LHs=RHS a³+b³+c³-3abc=(a+b+c)(a²+b²+c²-ab-bc-ca)
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Answered by
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hi friend,
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(a+b+c)(a²+b²+c²-ab-bc-ca)
=a³+ab²+ac²-a²b-abc-ca²+ba²+b³+bc²-ab²-b²c-abc+a²c+b²c+c³-abc-bc²-ac²
=a³+b³+c³-3abc
hence proved
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I hope this will help u :)
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(a+b+c)(a²+b²+c²-ab-bc-ca)
=a³+ab²+ac²-a²b-abc-ca²+ba²+b³+bc²-ab²-b²c-abc+a²c+b²c+c³-abc-bc²-ac²
=a³+b³+c³-3abc
hence proved
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I hope this will help u :)
Answered by
3
hope its helped u.....,
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