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Show that: ((a+1/b)^m xx\ (a-1/b)^n)/((b...

Show that: `((a+1/b)^m xx\ (a-1/b)^n)/((b+1/a)^m\ xx\ (b-1/a)^n)=(a/b)^(m+n)`

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`=((a+1/b)^mxx(a-1/b)^n)/((b+1/a)^mxx(b-1/a)^n)`
`=((ab+1)^m/(b^m)xx(ab-1)^n/b^n)/((ab+1)^m/a^mxx(ab-1)^m/a^n)`
`=(a^m/b^m)xx(a^n/b^n)`
`=a^(m+n)/b^(m+n)`
`=(a/b)^(m+n)`
Hence Proved.
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