Dividing Rational Expressions

Dividing Rational Expressions

How to solve dividing rational expression problems: example and its solution.

Example

Simplify the given expression. ((x^2 - 4)/(x - 1))/((x + 2)/5x)

To solve ' ÷ ',
switch the numerator and the denominator.

Factor the numerator.
x2 - 4 = (x + 2)(x - 2)

Then cancel the common factor (x + 2).

Simplifying rational expressions