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Explain Simplifying Rational Expressions ?
A rational expression, or algebraic fraction, is an expression in which you have a polynomial divided by a polynomial. Sometimes it is said that a rational expression is a polynomial "over" a polynomial.
Here are two examples of rational expressions:
10x3y/15x2y4 and (2x2 +11x +15) /x2-9
Important: The bottom polynomial can never be zero, because division by zero is undefined!To simplify or reduce a fraction such as 6/15, you must first factor the numerator and denominator, and then you can eliminate, or cross out, the common factors.
Like this:
The same canceling procedure can be used to simplify rational expressions. Here are some examples of how you can do this:
1 1 1 1 1 2 1 2 ? and 40/2=? 2/40=?
long ago, people decided to divide the day into units called hours. they choose 24 as the number of hours in one day. why is 24 a more convenient choice than 23 or 25?
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Proof of Alternating Series Test With no loss of generality we can assume that the series begins at n =1. If not we could change the proof below to meet the new starting place
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Complex numbers from the eigenvector and the eigenvalue. Example1 : Solve the following IVP. We first require the eigenvalues and eigenvectors for the given matrix.
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Now we have to start looking at more complicated exponents. In this section we are going to be evaluating rational exponents. i.e. exponents in the form
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