SOLUTION: Hello there! Im having problems with this equation. 5t^3/4t-8 * 6t-12/10t thanks for your help

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello there! Im having problems with this equation. 5t^3/4t-8 * 6t-12/10t thanks for your help      Log On


   

Question 87557: Hello there! Im having problems with this equation.
5t^3/4t-8 * 6t-12/10t
thanks for your help
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming that this is what you mean:
%28%285t%5E3%29%2F%284t-8%29%29+%2A+%28%286t-12%29%2F%2810t%29%29+
Factor the denominator of the first fraction and the numerator of the second fraction:
%28%285t%5E3%29%2F%284%28t-2%29%29%29+%2A+%28%286%28t-2%29%29%2F%2810t%29%29+

Divide out the factors of (t-2):
%28%285t%5E3%29%2F4%29+%2A+%286%2F%2810t%29%29+

When you multiply, this leaves:
%2830t%5E3%29%2F%2840t%29

Reduce the fraction, by dividing out the 10 and t, which leaves factors of 3 and t^2 in the numerator, and a factor of 4 in the denominator.

%283t%5E2%29%2F4

R^2 Retired from SCC