[" Itlustration 5.4If "a+b+c=1," then prove that "],[(8)/(27abc)>{(1)/(a)-1}{(1)/(b)-1}{(1)/(c)-1}>8]

If a+b+c=1, then prove that 8/(27a b c)>{1/a-1}{1/b-1}{1/c-1}> 8.

If a+b+c=1, then prove that 8/(27a b c)>{1/a-1}{1/b-1}{1/c-1}> 8.

If a+b+c=1, then prove that 8/(27a b c)>{1/a-1}{1/b-1}{1/c-1}> 8.

Prove that (a^(8)+b^(8)+c^(8))/(a^(3)b^(3)c^(3))>(1)/(a)+(1)/(b)+(1)/(c)

If abc=1, show that (1)/(1+a+b^(-1))+(1)/(1+b+c)+(1)/(1+c+a^(-1))=1

Prove that (a^8+b^8+c^8)/(a^3b^3c^3)>1/a+1/b+1/c

Prove that (a^8+b^8+c^8)/(a^3b^3c^3)>1/a+1/b+1/c

If a,b, and c are distinct positive real numbers such that a+b+c=1, then prove tha ((1+a)(1+b)(1+c))/((1-a)(1-b)(1-c))>8

If a ,b , a n dc are distinct positive real numbers such that a+b+c=1, then prove that ((1+a)(1+b)(1+c))/((1-a)(1-b)(1-c))> 8.