Browse · harp

smc

prealgebra senior

Problem

Define

x \otimes y = x^{3} - y

. What is

h \otimes (h \otimes h)

?

(A)

- h

(B)

0

(C)

h

(D)

2 h

Solution

By the definition of

\otimes

, we have

h \otimes h = h^{3} - h

. Then,

h \otimes (h \otimes h) = h \otimes (h^{3} - h) = h^{3} - (h^{3} - h) = h .

Final answer

C