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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:
Suppose that we know the logarithms of all numbers which are expressed to base 'a' and we are required to find the logarithms of all these numbers to base 'b'. We
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6x-4+3x+6 -2a-8b-5a+10b
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Example: Find a general solution to the subsequent differential equation. 2 y′′ + 18 y + 6 tan (3t) Solution First, as the formula for variation of parameters needs coe
Special Forms There are a number of nice special forms of some polynomials which can make factoring easier for us on occasion. Following are the special forms. a 2 + 2ab +
[2 5] . [7 8}
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