MathDB
Spade Operation

Source: AMC 12 2006B, Problem 2

February 17, 2006
AMC

Problem Statement

For real numbers x x and y y, define x\spadesuit y \equal{} (x \plus{} y)(x \minus{} y). What is 3(45) 3\spadesuit(4\spadesuit 5)? (A) \minus{} 72 \qquad (B) \minus{} 27 \qquad (C) \minus{} 24 \qquad (D) 24 \qquad (E) 72