Precalculus Examples

$e^{\ln (A + B)} - e^{\ln (\frac{1}{A} + \frac{1}{B})}$

Step 1

Exponentiation and log are inverse functions.

$A + B - e^{\ln (\frac{1}{A} + \frac{1}{B})}$

Step 2

Exponentiation and log are inverse functions.

$A + B - (\frac{1}{A} + \frac{1}{B})$

Step 3

Apply the distributive property.

$A + B - \frac{1}{A} - \frac{1}{B}$