Use the distributive property to help simplify the expression. $2 \sqrt [ 3 ] { 2 } + 2 \sqrt [ 3 ] { 54 } - 2 \sqrt [ 3 ] { 16 }$
A) $6 \sqrt [ 3 ] { 2 }$
B) $- 4 \sqrt [ 3 ] { 2 }$
C) $- 4 \sqrt [ 3 ] { 3 }$
D) $4 \sqrt [ 3 ] { 2 }$
E) $4 \sqrt [ 3 ] { 3 }$

Question

Quizplus · Accepted Answer

Using the distributive property, we can rewrite the expression as $$2 \sqrt [ 3 ] { 2 } + 2 \sqrt [ 3 ] { 54 } - 2 \sqrt [ 3 ] { 16 }=2 \sqrt [ 3 ] { 2 } + 2 \sqrt [ 3 ] { 2 \cdot 27 } - 2 \sqrt [ 3 ] { 2^4 } \ = 2 \sqrt [ 3 ] { 2 } + 2 \sqrt [ 3 ] { 2 } \cdot \sqrt [ 3 ] { 27 } - 2 \sqrt [ 3 ] { 2^3 } \ = 2 \sqrt [ 3 ] { 2 } + 2 \sqrt [ 3 ] { 2 } \cdot 3 - 2 \cdot 2 \ = (2+6-4)\sqrt [ 3 ] { 2 }\=4\sqrt [ 3 ] { 2 }$$ Therefore, the answer is D.

Use the Distributive Property to Help Simplify the Expression 223+2543−21632 \sqrt [ 3 ] { 2 } + 2 \sqrt [ 3 ] { 54 } - 2 \sqrt [ 3 ] { 16 }232​+2354​−2316​

Use the Distributive Property to Help Simplify the Expression $2 \sqrt [ 3 ] { 2 } + 2 \sqrt [ 3 ] { 54 } - 2 \sqrt [ 3 ] { 16 }$