3.(x+1)3-27(x+1)=0
=>(x+1)[3.(x+1)2-27]=0
=>\(\hept{\begin{cases}x+1=0\\3.\left(x+1\right)-27=0\end{cases}}\)
Đến đây bạn tự làm nha,...
3(x+1)3 - 27(x+1) = 0
<=> 3(x+1)[(x+1)2 - 9]=0
<=> 3(x+1)(x+1-3)(x+1+3)=0
<=>3(x+1)(x-2)(x+4)=0
=> x = {-1;2;-4}
\(3\left(x+1\right)^3-27\left(x+1\right)=0\)
\(\Rightarrow3\left(x+1\right)^3-3^3\left(x+1\right)=0\)
\(\Rightarrow3.\left(x+1\right)^2.\left(x+1\right)-3^3.\left(x+1\right)=0\)
\(\Rightarrow\left(x+1\right).\left(3.\left(x+1\right)^2-3^3\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x+1=0\\3.\left(x+1\right)^2-3^3=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0-1\\3.\left(x+1\right)^2=3^3\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-1\\\left(x+1\right)^2=3^3:3\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-1\\\left(x+1\right)^2=3^2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-1\\x+1=\pm3\end{cases}}\)
\(\Rightarrow x=-1;\orbr{\begin{cases}x+1=3\\x+1=-3\end{cases}}\)
\(\Rightarrow x=-1;\orbr{\begin{cases}x=3-1\\x=-3-1\end{cases}}\)
\(\Rightarrow x=-1;\orbr{\begin{cases}x=2\\x=-4\end{cases}}\)
Vậy x = -1 hoặc x = 2 hoặc x = - 4