Difference between revisions of "2008 AMC 12B Problems/Problem 7"

Latest revision as of 12:48, 15 February 2021

For real numbers $a$ and $b$ , define $a\textdollar b = (a - b)^2$ . What is $(x - y)^2\textdollar(y - x)^2$ ?

$\textbf{(A)}\ 0 \qquad \textbf{(B)}\ x^2 + y^2 \qquad \textbf{(C)}\ 2x^2 \qquad \textbf{(D)}\ 2y^2 \qquad \textbf{(E)}\ 4xy$

$\left[ (x-y)^2 - (y-x)^2 \right]^2$

$\left[ (x-y)^2 - (x-y)^2 \right]^2$

$[0]^2$

$0 \Rightarrow \textbf{(A)}$

2008 AMC 12B (Problems • Answer Key • Resources)
Preceded by Problem 6	Followed by Problem 8
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All AMC 12 Problems and Solutions

Revision as of 17:37, 8 January 2021 (view source) Bobcats (talk \| contribs) m ← Older edit		Latest revision as of 12:48, 15 February 2021 (view source) Etvat (talk \| contribs)
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−	==Problem 7==	+	==Problem==
	For real numbers <math>a</math> and <math>b</math>, define <math>a\textdollar b = (a - b)^2</math>. What is <math>(x - y)^2\textdollar(y - x)^2</math>?		For real numbers <math>a</math> and <math>b</math>, define <math>a\textdollar b = (a - b)^2</math>. What is <math>(x - y)^2\textdollar(y - x)^2</math>?