Question

Prove that, (a+b)^3-(a-b)^3-6a^2b+6b^3=8b^3

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Answer 1

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Answer 2

Step-by-step explanation:

Now by expanding this eqn we get,

a³+b³+3ab(a+b)-a³+b³+3ab(a-b)-6ba²+6b³

⇒2b³+3ab(a+b+a-b)-6ba²+6b³

8b³+6ba²-6ba²

∴8b³

HENCE PROVED