(A + 1 )( B + 1 )(C + 1 )=385 then find a + b + c

asked by guest
on Jan 11, 2025 at 8:48 am



MathBot Answer:

Assuming bb and BB are referring to the same variable.Assuming cc and CC are referring to the same variable.Assuming aa and AA are referring to the same variable.


a+b+c=abcabacbc+384a + b + c = - a b c - a b - a c - b c + 384


(a+1)(b+1)(c+1)=385abc+ab+ac+a+bc+b+c+1=385a+b+c=abcabacbc+384\begin{aligned}\left(a + 1\right) \left(b + 1\right) \left(c + 1\right) &= 385\\a b c + a b + a c + a + b c + b + c + 1 &= 385\\a + b + c&=- a b c - a b - a c - b c + 384\end{aligned}