Simplify the expression. Include absolute value bars where necessary.
-$\sqrt [ 3 ] { - 8 ( x - 3 ) ^ { 3 } }$
A) $- 2 x + 6$
B) $- 2 x - 6$
C) $- 8 x - 3$
D) $| - 2 x + 6 |$

Question

Quizplus · Accepted Answer

The expression simplifies to $-2(x-3)$ because the cube root and the cube cancel each other out, leaving $-2(x-3) = -2x + 6$. Absolute value bars are not necessary because the cube root of a negative number is well-defined and negative.

Simplify the Expression −8(x−3)33\sqrt [ 3 ] { - 8 ( x - 3 ) ^ { 3 } }3−8(x−3)3​

Simplify the Expression $\sqrt [ 3 ] { - 8 ( x - 3 ) ^ { 3 } }$