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

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

User ARJUN KP
by
7.3k points

1 Answer

2 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 Bitfox
by
7.4k points
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