Question

prove the following ​

Answer 1

Answer:

j.o.i.n t.h.i.s m.e.e.t.

nsx-grkm-prt f.o.r s.e.e.i.n.g a. g.i.r.l

Answer 2

Answer:

very easy

Step-by-step explanation:

$lhs = \frac{ {a}^{ - 1} }{ {a}^{ - 1} + {b}^{ - 1} } + \frac{ {a}^{ - 1} }{ {a}^{ - 1} - {b}^{ - 1} } \\ = \frac{ \frac{1}{a} }{ \frac{1}{a} + \frac{1}{b} } + \frac{ \frac{1}{a} }{ \frac{1}{a} - \frac{1}{b} } \\ = \frac{ab}{a(a + b)} + \frac{ab}{a(b - a)} \\ = \frac{ab( b- a) + ab( a+b )}{ {a}( a+b )(b - a)} \\ = \frac{ab(b - a + a + b)}{a( {b}^{2} - {a}^{2} )} \\ = \frac{ab(2b) }{ a({b}^{2} - {a}^{2})} \\ = \frac{2b^{2} }{ {b}^{2} - {a}^{2}} = rhs$