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Operations on Rational Expressions

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Please explain as simple as possible how multiplication and division of rational expressions can be done. Please show examples of each in simple form by typing out linearly and use parentheses around top and bottom if there's more than 1 term.

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A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials.
The following are some of the examples of the rational expressions -
1.
2.
3.

Now let us move on to the multiplication of the rational expressions -
The general form of the rational expression is as follows -
.
which gives,

Now let us do the multiplication with an example, to understand it better -
*
Now,
First thing, we should do about rational expressions is to factor out as much as possible. So let us first factor out the given polynomials as much as ...

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