SOLUTION: I need help on this question, right here: Simplify and find all restrictions: {{{ 6b^3 - 3b^2/5-10b }}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help on this question, right here: Simplify and find all restrictions: {{{ 6b^3 - 3b^2/5-10b }}}      Log On


   

Question 142049: I need help on this question, right here:
Simplify and find all restrictions:
+6b%5E3+-+3b%5E2%2F5-10b+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%286b%5E3+-+3b%5E2%29%2F%285-10b%29 Start with the given expression


%283b%5E2%282b-1%29%29%2F%285-10b%29 Factor 6b%5E3+-+3b%5E2 to get 3b%5E2%282b-1%29


%283b%5E2%282b-1%29%29%2F%28-5%282b-1%29%29 Factor 5-10b to get -5%28-1%2B2b%29 . Now rearrange -1%2B2b to get 2b-1


%283b%5E2cross%28%282b-1%29%29%29%2F%28-5cross%28%282b-1%29%29%29 Cancel like terms


-3b%5E2%2F5 Simplify


So %286b%5E3+-+3b%5E2%29%2F%285-10b%29 simplifies to -3b%5E2%2F5


In other words, %286b%5E3+-+3b%5E2%29%2F%285-10b%29=-3b%5E2%2F5 where b%3C%3E1%2F2(this is the restriction)