Question

why is x^2=y^2 not a function but x^3=y^3 is a function?

Answer 1

\[x^2-y^2=0 \text{ \implies } (x-y)(x+y)=0 \\ \text{ this happens when } x=y \text{ or } x=-y \]
Therefore x^2=y^2 is not a function...
\[x^3-y^3=0 \\\]
Try to factor this one

Answer 2

Do you know how to factor a difference of cubes?

Answer 3

thank u