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Let x = 2001^1002 -2001^-1002 and y = 2001^1002 + 2001^-1002. Find x^2 - y^2.

 May 3, 2021
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Let

x=2001100220011002 and

y=20011002+20011002.

Find x2y2.

 

Let a=20011002Let b=20011002Let ab =2001100220011002 =200110021002 =20010 =1Let x=abLet y=a+b

 

x2y2=(ab)2(a+b)2x2y2=a22ab+b2(a2+2ab+b2)x2y2=a22ab+b2a22abb2x2y2=2ab2abx2y2=4ab|ab=1x2y2=41x2y2=4

 

laugh

 May 3, 2021
edited by heureka  May 3, 2021

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