Question

If (1/a)+1/b +1/c=1/(a+b+c) show that show that 1/a^3+1/b^3+1/c^3=1/(a^3+b^3+1/c^3)​

Answer 1

Answer:

Step-by-step explanation:

to prove 1/a^3+1/b^3+1/c^3=1/a^3+b^3+c^3

1/a+1/b+1/c=1/a+b+c

L.H.S

1/a+1/b+1/c

cubing each term

(1/a)^3+(1/b)^3+(1/c)^3

1/a³+1/b³+1/c³

taking LCM

1/a³+b³+c³

hence proved