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2022 AMC 8 Question 2

AMC8 · 2022 AMC 8

Question 2

Consider these two operations: $$
\begin{align*} a\,\blacklozenge\,b &= a^2 - b^2 \\ a \star b &= (a - b)^2 \end{align*}
$$

Compute the value:

$$
(5\,\blacklozenge\,3) \star 6
$$
  1. $-20$
  2. $4$
  3. $16$
  4. $100$
  5. $220$