Difference between revisions of "2021 Fall AMC 12B Problems/Problem 7"

Revision as of 21:28, 23 November 2021

Just plug in all these options one by one, and one sees that all but $D$ fails to satisfy the equation.

For $D$ , substitute $z=x$ and $y=x+1$ :

$LHS=x(x-(x+1))+(x+1)(x+1-x)+x(x-x)=(-x)+(x+1)=1=RHS$

Hence the answer is $\boxed{\textbf{(D)}}.$

~Wilhelm Z

Revision as of 21:27, 23 November 2021 (view source) Wilhelmz (talk \| contribs) ← Older edit		Revision as of 21:28, 23 November 2021 (view source) Wilhelmz (talk \| contribs) (→‎Solution 1 (Bash)) Newer edit →
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	Hence the answer is <math>\boxed{\textbf{(D)}}.</math>		Hence the answer is <math>\boxed{\textbf{(D)}}.</math>
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		+	~Wilhelm Z