Dividing Rational Expressions

 

Just as in arithmetic, division of fractions involves multiplying by the reciprocal of the divisor.

Example 1

Simplify equation.

equation

If this last answer is multiplied out, it is

equation

Example 2

Simplify equation.

Since only the middle expression is doing the dividing, it is the only one whose reciprocal is used.

equation

 
 
 
 
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