Answer:
The equation [tex](\sqrt[3]{2x-6})^3=(-\sqrt[3]{2x+6})^3[/tex] represents the valid step in solving the given expression [tex]\sqrt[3]{2x-6}+\sqrt[3]{2x+6}[/tex]
Therefore the option [tex](\sqrt[3]{2x-6})^3=(-\sqrt[3]{2x+6})^3[/tex]
Step-by-step explanation:
Given expression is [tex]\sqrt[3]{2x-6}+\sqrt[3]{2x+6}[/tex]
To solve the given expression as below :
[tex]\sqrt[3]{2x-6}+\sqrt[3]{2x+6}[/tex]
[tex]\sqrt[3]{2x-6}=-\sqrt[3]{2x+6}[/tex]
cubing on both sides we get
[tex](\sqrt[3]{2x-6})^3=(-\sqrt[3]{2x+6})^3[/tex]
The equation [tex](\sqrt[3]{2x-6})^3=(-\sqrt[3]{2x+6})^3[/tex] represents the valid step in solving the given expression [tex]\sqrt[3]{2x-6}+\sqrt[3]{2x+6}[/tex]
Therefore the option [tex](\sqrt[3]{2x-6})^3=(-\sqrt[3]{2x+6})^3[/tex]
