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Degger [83]
3 years ago
13

a. Show that the system of rational expressions is closed under addition, or give an example showing the contrary.

Mathematics
1 answer:
otez555 [7]3 years ago
7 0
A "rational expression" is a fraction in which the numerator and the denominator are both polynomials. The sum of two such expressions will always produce another such expression, viz., 
<span>p(x)/q(x) + r(x)/s(x) = [p(x)s(x) + q(x)r(x)] / [q(x)*s(x)]. </span>
<span>The numerator and denominator of the sum will both be polynomials when fully expanded</span>
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For example :

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