Question

what is the solution of this answer​

Answer 1

$\frac{ {a}^{ - 1} }{ {a}^{ - 1} + {b}^{ - 1} } + \frac{ {a}^{ - 1} }{ {a}^{ - 1} + {b}^{ - 1} }$

$\implies \frac{ (\frac{1}{a}) }{( \frac{1}{a} ) + ( \frac{1}{b}) } + \frac{ (\frac{1}{a}) }{( \frac{1}{a} ) + ( \frac{1}{b}) }$

$\implies \frac{ (\frac{1}{a}) }{( \frac{a + b}{ab} ) } + \frac{ (\frac{1}{a}) }{( \frac{a + b}{ab} ) }$

$\implies \frac{ (b)}{( a + b) } + \frac{ (b) }{( {a + b} ) }$

$\implies \frac{2 (b)}{( a + b) }$

$\implies \frac{2 (b)}{( a + b) } \times \frac{(a - b)}{(a - b)}$

$\implies \frac{2 (ab) - 2 {b}^{2} }{ a ^{2} - b {}^{2} }$

$\implies \frac{ - 2 ( - ab + {b}^{2}) }{ a ^{2} - b {}^{2} }$

$\implies \frac{ 2 ( {b}^{2} - ab ) }{ {b}^{2} - a ^{2} }$

${ \boxed{\color{orange}\therefore \frac{ 2 {b}^{2} - 2ab }{ {b}^{2} - a ^{2} } }}$

HOPE THAT HELPS!!!