SOLUTION: If (8x - 5)(6x - 2)is the LCD of two fractions, is (5 - 8x)(2 - 6x) also acceptable as an LCD? Why or why not?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: If (8x - 5)(6x - 2)is the LCD of two fractions, is (5 - 8x)(2 - 6x) also acceptable as an LCD? Why or why not?      Log On


   

Question 319733: If (8x - 5)(6x - 2)is the LCD of two fractions, is (5 - 8x)(2 - 6x) also acceptable as an LCD? Why or why not?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since 5-8x=-%288x-5%29 and 2-6x=-%286x-2%29, we can multiply the two right sides to get %28-%288x-5%29%29%28-%286x-2%29%29=%288x-5%29%286x-2%29


So multiplying -%288x-5%29 and -%286x-2%29 is the same as multiplying 8x-5 and 6x-2 which means that %285+-+8x%29%282+-+6x%29 is also acceptable as an LCD.