SOLUTION: The directions are this but the instructor never went over it. Find the LCD for the given rational expression, and convert each rational expression into an equivalent rational exp

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The directions are this but the instructor never went over it. Find the LCD for the given rational expression, and convert each rational expression into an equivalent rational exp      Log On


   

Question 58596: The directions are this but the instructor never went over it.
Find the LCD for the given rational expression, and convert each rational expression into an equivalent rational expression with the LCD as the denominator.
70. 3/4b^2-9 , 2b/2b+3 , -5/2b^2-3b

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
The directions are this but the instructor never went over it.
Find the LCD for the given rational expression, and convert each rational expression into an equivalent rational expression with the LCD as the denominator.
70. 3%2F%284b%5E2-9%29 , 2b%2F%282b%2B3%29 , -5%2F%282b%5E2-3b%29
First factor each of the denominators.
3%2F%28%282b%2B3%29%282b-3%29%29, 2b%2F%282b%2B3%29, -5%2F%28b%282b-3%29%29
:
The LCD is: b(2b+3)(2b-3) if you put any of the denominators beneath this, they will be completely canceled.
:
Whatever you do to the denominators you must do to the numerators:
3%2Ab%2F%28b%282b%2B3%29%282b-3%29%29,2b%2Ab%282b-3%29%2F%28b%282b%2B3%29%282b-3%29%29, -5%282b%2B3%29%2F%28b%282b%2B3%29%282b-3%29%29
:
3b%2F%28b%282b%2B3%29%282n-3%29%29, 2b%5E2%282b-3%29%2F%28b%282b%2B3%29%282b-3%29%29, -5%282b%2B3%29%2F%28b%282b%2B3%29%282b-3%29%29
:
Most teachers and books are happy with that, but you can multiply everything through if you want to.
Happy Calculating!!!