SOLUTION: Could you please help me simplify this? Simplify.√(1/x^2 -2/xy+1/y^2 )
I can't seem to find any help with this.
Algebra.Com
Question 277988: Could you please help me simplify this? Simplify.√(1/x^2 -2/xy+1/y^2 )
I can't seem to find any help with this.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Simplify.√(1/x^2 -2/xy+1/y^2 )
-------------------
sqrt[(1/x^2) - (2/xy) + (1/y^2)]
---
gcd = x^2y^2
----
sqrt[(y^2/gcd) - (2xy/gcd) + (x^2/gcd)]
---
sqrt[(y^2 - 2xy+ x^2)/gcd]
---
sqrt[(y-x)^2/x^2y^2]
---
= (y-x)/xy
=================
Cheers,
Stan H.
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