Question

prove that (m+n)-1 (m-1 +n-1) = (m+n)+1​

Answer 1

Answer:

Step-by-step explanation:

There is a mistake in your question. Just change the question in to

Prove that (m+n)⁻¹ (m⁻¹ + n⁻¹) = (mn)⁻¹

take LHS

= (m+n)⁻¹ (m⁻¹ + n⁻¹)

= $(\frac{1}{m+n} )$$( \frac{1}{m} + \frac{1}{n} )$

= $(\frac{1}{m+n} )$$( \frac{(n+m)}{mn} )$

= $(\frac{1}{m+n} )$$( \frac{(m+n)}{mn} )$

= $( \frac{1}{mn} )$

= (mn)⁻¹

= RHS

so, LHS = RHS

Hence proved