Complex Product Calculation 2
Let $ a, $ $ b, $ $ c $ be complex numbers satisfying \begin{align*} (a + 1)(b + 1)(c + 1) &= 1, \\ (a + 2)(b + 2)(c + 2) &= 2, \\ (a + 3)(b + 3)(c + 3) &= 3.\end{align*}Find $ (a + 4)(b + 4)(c + 4) $.
- 1
- 2
- 3
- +
- 4
- 5
- 6
- -
- 7
- 8
- 9
- $\frac{a}{b}$
- .
- 0
- =
- %
- $a^n$
- $a^{\circ}$
- $a_n$
- $\sqrt{}$
- $\sqrt[n]{}$
- $\pi$
- $\ln{}$
- $\log$
- $\theta$
- $\sin{}$
- $\cos{}$
- $\tan{}$
- $($
- $)$
- $[$
- $]$
- $\cap$
- $\cup$
- $,$
- $\infty$