Question

PROVE THAT ( m +n )^-1 (m^-1 +n^-1) =(mn) ^-1.

here ^ means - to the power
so m^-1 means m to the power -1
like these.......

Answer 1

hey friend here is your answer



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Answer 2

$let \: m \: be \: x \: and \: n \: be \: y \\ {(x + y)}^{ - 1} ( {x}^{ - 1} + {y}^{ - 1} ) = \\ {xy}^{ - 1} \\ \frac{1}{x + y} ( \frac{1}{x} + \frac{1}{y} ) = \frac{1}{xy} \\ lhs \\ \frac{1}{x + y} \times \frac{x + y}{xy} \\ \frac{1}{xy} \\ rhs = lhs \\ hence \: proved \\ hope \: it \: helps \: u$




















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