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Unformatted text preview: ator. Likewise, there are 2
( x + 1) ’s in the numerator and 8 in the denominator so when we cancel there will be 6 left in the
denominator. Here is the rational expression reduced to lowest terms. x 7 + 2 x 6 + x5
x3 ( x + 1) 8 = x2 ( x + 1) 6 [Return to Problems] Before moving on let’s briefly discuss the answer in the second part of this example. Notice that
we moved the minus sign from the denominator to the front of the rational expression in the final
form. This can always be done when we need to. Recall that the following are all equivalent. - a -a a
b b -b In other words, a minus sign in front of a rational expression can be moved onto the whole
numerator or whole denominator if it is convenient to do that. We do have to be careful with this
however. Consider the following rational expression. -x + 3
x +1 In this case the “-” on the x can’t be moved to the front of the rational expression since it is only
on the x. In order to move a minus sign to the front of a rational expression it needs to be times
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.
- Spring '12