Question

sinplify (a+b)^-1 . (a^-1+b^-1)​

Answer 1

(a+b)^-1 . (a^-1+b^-1)

= 1/(a+b) . (1/a + 1/b)

= 1/(a+b) .{ (a+b)/ab }

= 1/ab (ans.)

Answer 2

Answer:

${(a + b)}^{ - 1} .( {a}^{ - 1} + {b}^{ - 1} ) \\ = \frac{1}{(a + b)} .( \frac{1}{a} + \frac{1}{b} ) \\ = \frac{1}{(a + b)} .\frac{(b + a)}{ab} \\ = \frac{1}{ab} \\ \\ \red{ \mathfrak{\underline{\color{red}{Hope \: It \: Helps \: You}}}} \\ \blue{ \mathfrak{ \underline{\color{blue}{Mark \: Me \: Brainliest}}}}$