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Custom Operations Evaluate

975BeginnerAlgebra

AMC 8 · 2022 · Problem 2

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 $(5 \, \blacklozenge \, 3) \, \bigstar \, 6?$

Answer choices

A
{-}20
B
4
C
16
D
100
E
220
0 students attempted0% solvedRating 975

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