Define x⨂y = x^3 - y. Simplify h ⨂ (h⨂h).

Answer 1

To simplify the expression h ⨂ (h ⨂ h), we need to substitute the value of h into the definition of the operation ⨂.

Given that x⨂y = x^3 - y, we substitute h for x and (h ⨂ h) for y:

h⨂(h⨂h) = h^3 - (h⨂h)

We can simplify this expression further by substituting the value of h for (h⨂h):

h^3 - (h⨂h) = h^3 - (h^3 - h)

Expanding further, we simplify the expression:

h^3 - (h^3 - h) = h^3 - h^3 + h = h