Đáp án đúng: A
Giải chi tiết:\(\begin{array}{l}{\left( {x + 2} \right)^3} - 26 = {\left( {{4^3} - {3^2}.7} \right)^{100}}\\{\left( {x + 2} \right)^3} - 26 = {\left( {64 - 9.7} \right)^{100}}\\{\left( {x + 2} \right)^3} - 26 = {1^{100}}\\{\left( {x + 2} \right)^3} - 26 = 1\\{\left( {x + 2} \right)^3}\,\,\,\,\,\,\,\,\,\,\,\, = 1 + 26\\{\left( {x + 2} \right)^3}\,\,\,\,\,\,\,\,\,\,\,\, = 27\\{\left( {x + 2} \right)^3}\,\,\,\,\,\,\,\,\,\,\,\, = {3^3}\\ \Rightarrow x + 2 = 3\\\,\,\,\,\,\,\,x\,\,\,\,\,\,\,\, = 3 - 2\\\,\,\,\,\,\,\,x\,\,\,\,\,\,\,\, = 1\end{array}\)
Chọn A.
