If \( a, b, c \) are all different and \( \left|\begin{array}{lll}a & a^{3} & a^{4}-1 \\ b & b^{... VIDEO
If \( a, b, c \) are all different and \( \left|\begin{array}{lll}a & a^{3} & a^{4}-1 \\ b & b^{3} & b^{4}-1 \\ c & c^{3} & c^{4}-1\end{array}\right|=0 \), prove that \( a b c(a b+b c+c a)=a+b+c \).https://bit.ly/YTAI_PWAP https://www.pw.live
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