Problem
Factor out the greatest common factor. Simplify the factors, if possible. \[ 8 x^{6}-24 x^{7}+4 x^{8} \] Select the correct choice below and, if necessary, fill in the answer box to A. $8 x^{6}-24 x^{7}+4 x^{8}=\square$ (Type your answer in factored form. Simplify your answer.) B. There is no common factor other than 1.
Solution
Step 1 ：Factor out the greatest common factor from the expression \(8 x^{6}-24 x^{7}+4 x^{8}\).
Step 2 ：Simplify the factors, if possible.
Step 3 ：The final answer is \(\boxed{4x^{6}(2-6x+x^{2})}\).
