Question-203891

Question Number 203891 by York12 last updated on 02/Feb/24

Answered by sniper237 last updated on 01/Feb/24

T h e l a s t f a c t o r s h o u l d b e (\frac{c}{a + b} + \frac{a}{b + c})

I f s o, L e t n a m e d P t h a t p r o d u c t

D i v i d e e a c h f a c t o r b y c, a, b r e s p

P = (\frac{a / c}{1 + b / c} + \frac{b / c}{1 + a / c}) \dots .

P ⩾ (\frac{a + b}{c}) (\frac{b + c}{a}) (\frac{c + a}{b}) ⩾ \frac{2 \sqrt{a b} 2 \sqrt{b c} 2 \sqrt{c a}}{a b c}

T h e n P ⩾ 8

Commented by York12 last updated on 02/Feb/24

thanks sir

Commented by York12 last updated on 02/Feb/24

Commented by York12 last updated on 02/Feb/24

P ⩾ (\frac{a + b}{c}) (\frac{b + c}{a}) (\frac{c + a}{b})

can you elaborate which inequality you used

please, thanks in advance

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