SOLUTION: can you please help me.? The most simplified form of {{{7/(3x^5)-8/2x^3}}} is ?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can you please help me.? The most simplified form of {{{7/(3x^5)-8/2x^3}}} is ?       Log On


   

Question 190527: can you please help me.?
The most simplified form of 7%2F%283x%5E5%29-8%2F2x%5E3 is ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
7%2F%283x%5E5%29-8%2F%282x%5E3%29 Start with the given expression


Take note that the LCD is 6x%5E5


%287%2A2%29%2F%283x%5E5%2A2%29-8%2F%282x%5E3%29 Multiply the first fraction by 2%2F2 to get the denominator to the LCD


14%2F%286x%5E5%29-8%2F%282x%5E3%29 Multiply


14%2F%286x%5E5%29-%288%2A3x%5E2%29%2F%282x%5E3%2A3x%5E2%29 Multiply the second fraction by %283x%5E2%29%2F%283x%5E2%29 to get the denominator to the LCD



14%2F%286x%5E5%29-%2824x%5E2%29%2F%286x%5E5%29 Multiply


%2814-24x%5E2%29%2F%286x%5E5%29 Combine the fractions.


%282%287-12x%5E2%29%29%2F%286x%5E5%29 Factor out the GCF 2 from the numerator


%282%287-12x%5E2%29%29%2F%282%2A3x%5E5%29 Factor 6 to get 2*3


%28cross%282%29%287-12x%5E2%29%29%2F%28cross%282%29%2A3x%5E5%29 Cancel out the common terms.


%287-12x%5E2%29%2F%283x%5E5%29 Simplify


So 7%2F%283x%5E5%29-8%2F%282x%5E3%29=%287-12x%5E2%29%2F%283x%5E5%29 where x%3C%3E0