11.4 Extra Example
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11.4 Problem Solving Help
Help for Exercises 31-39 on page 656
Start by taking the reciprocal of the second term (divisor) and changing the operation of division to multiplication between the two terms. Then, factor all numerators and denominators separately. You will most likely find several common factors that can be divided out. Be careful with expressions that contain addition and subtraction. For example, the number 6 in the expression cannot be divided into 12 to get . In this case, the numerator of the first rational expression can be factored as 2(x+3). This results in a common factor of (x+3). The entire expression simplifies to .
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