Multiply, and then simplify if possible. Assume all variables represent positive real numbers.
-$( \sqrt [ 3 ] { 169 } + 13 ) ( \sqrt [ 3 ] { 13 } - 1 )$
A) $13 \sqrt [ 3 ] { 13 } - \sqrt [ 3 ] { 169 }$
B) 0
C) $\sqrt [ 3 ] { 169 } - 13 \sqrt [ 3 ] { 13 }$
D) $13 \sqrt [ 3 ] { 13 } + \sqrt [ 3 ] { 169 }$

Question

Quizplus · Accepted Answer

The expression simplifies to $13 \sqrt [ 3 ] { 13 } - \sqrt [ 3 ] { 169 }$ by applying the distributive property and recognizing that $\sqrt[3]{169} = 13$ and $\sqrt[3]{13} \cdot 13 = 13\sqrt[3]{13}$, and $\sqrt[3]{169} \cdot (-1) = -\sqrt[3]{169}$.

Multiply, and Then Simplify If Possible (1693+13)(133−1)( \sqrt [ 3 ] { 169 } + 13 ) ( \sqrt [ 3 ] { 13 } - 1 )(3169​+13)(313​−1)

Multiply, and Then Simplify If Possible $( \sqrt [ 3 ] { 169 } + 13 ) ( \sqrt [ 3 ] { 13 } - 1 )$