Question

a+2b+c+0
then find a³+8b³+c³

Answer 1

Answer:

Step-by-step explanation:

So,, a + 2b +c =0

or, a + 2b = - c

Cubing both sides we get,

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(a + 2b) ³ = (-c) ³

or, (a)³ + (2b)³ +3.a.2b.(a +2b) = - c³

or, a³+8b³+6ab×(-c) 9+c³=0__(since a+2b =-c)

or, a³ + 8b³ +c³ - 6abc =0

or, a³ + 8b³ + c³ =6abc __[PROVED]