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:
Get rid of the denominators; multiply thru by (R*R1*R2), resulting in:
R1*R2 = R*R2 + R*R1
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Factor out R on the right:
R1*R2 = R(R2 + R1)
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Divide both sides by (R2 + R1)
= R
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The old "product over sum" formula for two resistors in parallel, right?
