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Question
Simplify :
`( a + b )^(-1) . ( a^(-1) + b^(-1) )`
Sum
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Solution
`( a + b )^(-1) . ( a^(-1) + b^(-1) )`
= `1/( a + b ) xx ( 1/a + 1/b )`
= `1/( a + b ) xx ([ b + a ]/[ ab ] )`
= `1/( a + b ) xx ( a + b )/(ab)`
= `1/(ab)`
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