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Prove that: (a+b)^-^1.(a^-^1 +b^-^1) = (ab)^-^1
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38 votes
38 votes
Prove that:
(a+b)^-^1.(a^-^1 +b^-^1) = (ab)^-^1

User Gijo Varghese
by
2.2k points

1 Answer

22 votes
22 votes

Answer:

See below

Explanation:


(1)/(a+b) (
(1)/(a) +
(1)/(b))


(1)/(a+b) (
(b)/(ab) +
(a)/(ab))


(1)/(a+b) (
(b+a)/(ab))


((a+b))/((a+b)(ab))


(1)/(ab)


ab^(-1)

User Christylez
by
3.3k points
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