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Given  $a=2^{2017},b=3^{2017},c=4^{2017},d=5^{2017},$ and let \begin{align*}
x&=(a+b)(c+d),\\
y&=(a+c)(b+d),\\
z&=(a+d)(b+c).
\end{align*}
Rank  $x,y,z$ from greatest to least, and express your answer as an ordered list.

 Oct 24, 2020
 #1
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+1

x=(2^2017+3^2017)*(4^2017+5^2017);print x;y=(2^2017+4^2017)*(3^2017+5^2017);printy;z=(2^2017+5^2017)*(3^2017+4^2017);printz


y = 1.504877865 E+2624
z = 1.504877865 E+2624

x = 1.499924902 E+2372

Note: y and z are equivalent. You may arrange them the way they want.

 Oct 24, 2020
 #2
avatar+31320 
+5

I get the following:

 Oct 24, 2020

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