Least common denominator of rational expression, Mathematics

Perform the denoted operation.



For this problem there are coefficients on each of term in the denominator thus we'll first required the least common denominator for the coefficients. It is 6. Now, x (by itself along a power of 1) is the only factor which occurs in any of the denominators. Thus, the least common denominator for this part is x along with the largest power which occurs on the entire x's in the problem, that is 5.  So, the least common denominator for this set of rational expression is

                                                     lcd : 6x5

Thus, we just need to multiply each term via an appropriate quantity to get this in the denominator and then do the addition & subtraction. Let's do that.


                                    =(4x3/6x5 )-(2/6x5)+(15x2/6x5)             

                                    = (4x3-2+15x2)/6x5)

Posted Date: 4/6/2013 3:14:03 AM | Location : United States

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