olymmath

AMC 8 2022

AMC 8 2022.

Paper

Problem 2

  • Paper

Consider these two operations: \begin{align*} a \blacklozenge b &= a^2 - b^2 a \bigstar b &= (a - b)^2 \end{align*} What is the value of (5⧫3)★6?(5 \blacklozenge 3) \bigstar 6? (A) −20(B) 4(C) 16(D) 100(E) 220\textbf{(A) } {-}20 \textbf{(B) } 4 \textbf{(C) } 16 \textbf{(D) } 100 \textbf{(E) } 220

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