Show that b - 2 c 2- a - 2 b - 2- c - 2 a 2 2- abc a - b - c

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Expansion of (x^2 - y^2)

Show that b ∧...

Question

Show that b^2c^² + a^2b^2 + c^2a^2> abc(a+b+c)

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b^{2} c^{2} + c^{2} a^{2} + a^{2} b^{2} > a b c (a + b + c)

a, b, c

(a + 2 b - c) (2 b + c - a) (c + a - b) = 4 a b c

∣ ∣ ∣ ∣ \begin{matrix} a + b + 2 c & a & b c & b + c + 2 a & b c & a & c + a + 2 b \end{matrix} ∣ ∣ ∣ ∣ = 2 (a + b + c)^{3}

∣ ∣ ∣ ∣ \begin{matrix} a - b - c & 2 a & 2 a 2 b & b - c - a & 2 b 2 c & 2 c & c - a - b \end{matrix} ∣ ∣ ∣ ∣ = (a + b + c)^{3}

A + B + C = 180^{o}

sin (B + 2 C) + sin (C + 2 A) + sin (A + 2 B) = 4 sin [(B - C) / 2] sin [(C - A) / 2] \cdot s i n [(A - B) / 2]

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