prove that =(m+n)-¹ (m-¹+ n-¹) =(mn)-¹
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LHS
(m+n)⁻¹ (m⁻¹ + n⁻¹)
1/( m + n) ( 1/m + 1/n )
1/(m+ n) ( m + n) /mn
1/mn
(mn) ⁻¹ = RHS
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