# Difference between revisions of "2006 AMC 12B Problems/Problem 2"

m (2006 AMC 12B Problem 2 moved to 2006 AMC 12B Problems/Problem 2) |
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== Problem == | == Problem == | ||

+ | For real numbers <math>x</math> and <math>y</math>, define <math>x\spadesuit y = (x + y)(x - y)</math>. What is <math>3\spadesuit(4\spadesuit 5)</math>? | ||

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+ | <math>\text {(A) } - 72 \qquad \text {(B) } - 27 \qquad \text {(C) } - 24 \qquad \text {(D) } 24 \qquad \text {(E) } 72</math> | ||

== Solution == | == Solution == | ||

+ | <math>4\spadesuit 5=-9</math> | ||

+ | <math>3\spadesuit -9=-72 \Rightarrow \text{(B)}</math> | ||

== See also == | == See also == | ||

* [[2006 AMC 12B Problems]] | * [[2006 AMC 12B Problems]] |