Expanding and Simplifying Varley Bridge Equations

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casper12
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Two equations from a textbook: Rx + Rl = ((Rf - Ri)/Rf)(Rc + Rl), then part (b) text, then Rx = ((Rf - Ri)/Rf)Rc - (RlRi)/Rf, described as effect with no leads minus lead resistance times ratio of initial and final readings.

Hi this question is asking to show how multiplying the brackets of the first equation can result into the second equation, I think I have been looking at it for far to long as I can not seem to work it out.

any pointers would be much appreciated.
 
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  • Two equations: first Rx + Rl = ((Rf - Ri)/Rf)(Rc + Rl); then part (b) asks to show Rx = ((Rf - Ri)/Rf)Rc - (RlRi)/Rf, with the note 'effect with no leads - ratio of initial and final readings x lead resistance'.
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It seems simple. You only need to get rid of the Rc + Rl bracket, leaving the first resulting term alone (keep it for the final result), open up the second term, then bring Rl across and incorporate it into that second term result, simplify it and there you are.

If you show your progress so far I can be more specific perhaps.