Let x = 2001^1002 -2001^-1002 and y = 2001^1002 + 2001^-1002. Find x^2 - y^2.
Let
x=20011002−2001−1002 and
y=20011002+2001−1002.
Find x2−y2.
Let a=20011002Let b=2001−1002Let ab =20011002∗2001−1002 =20011002−1002 =20010 =1Let x=a−bLet y=a+b
x2−y2=(a−b)2−(a+b)2x2−y2=a2−2ab+b2−(a2+2ab+b2)x2−y2=a2−2ab+b2−a2−2ab−b2x2−y2=−2ab−2abx2−y2=−4ab|ab=1x2−y2=−4∗1x2−y2=−4