To find the value of y^2 - 1/y^2, we first expand the given expression:
(y-1/y)^2 = y^2 - 2 + 1/y^2Expanding further:y^2 - 2 + 1/y^2 = y^2 - 1/y^2 - 2
Comparing this with the original equation (y^2 - 1/y^2), we find that:y^2 - 1/y^2 = y^2 - 1/y^2 - 2 + 1= y^2 - 1/y^2 - 1
Therefore, y^2 - 1/y^2 = 44 - 1= 43
To find the value of y^2 - 1/y^2, we first expand the given expression:
(y-1/y)^2 = y^2 - 2 + 1/y^2
Expanding further:
y^2 - 2 + 1/y^2 = y^2 - 1/y^2 - 2
Comparing this with the original equation (y^2 - 1/y^2), we find that:
y^2 - 1/y^2 = y^2 - 1/y^2 - 2 + 1
= y^2 - 1/y^2 - 1
Therefore, y^2 - 1/y^2 = 44 - 1
= 43