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Dividing Rational Expressions
The method of dividing rational expressions is same as the method of dividing fractions . That is, to divide a rational expression by another rational expression, multiply the first rational expression by the reciprocal of the second rational expression.
For all rational expressions and with , , and , .
Example
Divide and then simplify.
Write as multiplication by the reciprocal.
The reciprocal of is .
Now multiply the numerators and the denominators.
Factor the terms in the numerator.
Divide out the common factors.
Simplify.