SOLUTION: Hello out there,I need some help with some tough problems,The first one is,Find the quotient: 5cd divided by 10c/d.The next one is,Find the quotient: b^2/b-6 divided by b/b-6.The t

Algebra ->  Equations -> SOLUTION: Hello out there,I need some help with some tough problems,The first one is,Find the quotient: 5cd divided by 10c/d.The next one is,Find the quotient: b^2/b-6 divided by b/b-6.The t      Log On


   

Question 118069: Hello out there,I need some help with some tough problems,The first one is,Find the quotient: 5cd divided by 10c/d.The next one is,Find the quotient: b^2/b-6 divided by b/b-6.The third one is,Find the quotient: e^2-e-12/e-4.And the last one is,Find the quotient:(6x+9)divided by(2x+3.)Thanks to whoever can help.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first two to help you get started

#1


5cd%2F%2810c%2Fd%29 Start with the given expression


%285cd%2F1%29%2F%2810c%2Fd%29 Rewrite 5cd as 5cd%2F1

%285cd%2F1%29%2A%28%28d%29%2F%2810c%29%29 Multiply the first fraction by the reciprocal of the second fraction


%285cd%2Ad%29%2F%2810c%29 Combine the fractions


%285cd%2Ad%29%2F%282%2A5c%29 Factor 10 into 2*5


%28cross%285%29cross%28c%29d%2Ad%29%2F%282%2Across%285%29cross%28c%29%29 Cancel like terms


d%5E2%2F2 Simplify


So 5cd%2F%2810c%2Fd%29 simplifies to d%5E2%2F2





#2


%28%28b%5E2%29%2F%28b-6%29%29%2F%28%28b%29%2F%28b-6%29%29 Start with the given expression



%28%28b%5E2%29%2F%28b-6%29%29%2A%28%28%28b-6%29%29%2F%28%28b%29%29%29 Multiply the first fraction by the reciprocal of the second fraction



%28%28b%2Ab%29%2F%28b-6%29%29%2A%28%28%28b-6%29%29%2F%28%28b%29%29%29 Factor b%5E2 into b%2Ab


Cancel like terms


b Simplify



So %28%28b%5E2%29%2F%28b-6%29%29%2F%28%28b%29%2F%28b-6%29%29 simplifies to b