SOLUTION: Factor and simplify. Express the answer as a fraction without negative exponents. (-5x/2)(x+3)^(-3/2) + 5(x+3)^(-1/2)

Algebra ->  Rational-functions -> SOLUTION: Factor and simplify. Express the answer as a fraction without negative exponents. (-5x/2)(x+3)^(-3/2) + 5(x+3)^(-1/2)      Log On


   

Question 894257: Factor and simplify. Express the answer as a fraction without negative exponents.
(-5x/2)(x+3)^(-3/2) + 5(x+3)^(-1/2)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%28-5x%2F2%29%28x%2B3%29%5E%28-3%2F2%29+%2B+5%28x%2B3%29%5E%28-1%2F2%29

%28-5x%29%2F%282%28x%2B3%29%5E%283%2F2%29%29%2B5%2F%28x%2B3%29%5E%281%2F2%29
The left expression can stay as is but the right expression should be multiplied by 2%28x%2B3%29 on its numerator AND denominator.


Check to understand what this does for the denominator.

%28-5x%2B5%2A2%28x%2B3%29%29%2F%282%28x%2B3%29%5E%283%2F2%29%29

%28-5x%2B10x%2B15%29%2F%282%28x%2B3%29%5E%283%2F2%29%29

highlight%28%285x%2B15%29%2F%282%28x%2B3%29%5E%283%2F2%29%29%29