SOLUTION: i have previously submitted this question but have not received an answer. I have had a go myself but am not sure if I have done it correctly. would you please be able to check wha

Algebra ->  Expressions -> SOLUTION: i have previously submitted this question but have not received an answer. I have had a go myself but am not sure if I have done it correctly. would you please be able to check wha      Log On


   

Question 94400: i have previously submitted this question but have not received an answer. I have had a go myself but am not sure if I have done it correctly. would you please be able to check what I have done, and let me know if I am on the right track? Thank you.
The problem is a substitution equation where a=2,b=3,c=-4 & d=-1.
%28a%2Fb%29%5E2+-+%28c%2Fd%29%5E3
%282%2F3%29%5E2+-+%28-4%2F-1%29%5E3
%282%2F3%29%282%2F3%29+-+%28-4%2F-1%29%28-4%2F-1%29%28-4%2F-1%29
2%2F3%2A2%2F3+-+4%2A4%2A4
%282%2A3%29%283%2A2%29%2F3%2A3+-+64
6%2A6%2F9+-+64
36%2F9+-64
4+-+64
=60
Found 2 solutions by praseenakos@yahoo.com, jim_thompson5910:
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Answer

%28a%2Fb%29%5E2+-+%28c%2Fd%29%5E3

%282%2F3%29%5E2+-+%28-4%2F-1%29%5E3

%282%2F3%29%282%2F3%29+-+%28-4%2F-1%29%28-4%2F-1%29%28-4%2F-1%29

4%2F9+-+%2864%2F-1%29

==> 4%2F9+%2B+64%2F1+


Taking Lowest common multiple of the denominators, that is 9, you can simplify this expression....

==> %289%2A%284%2F9%29+%2B9%2A+%2864%2F1%29%29%2F9+

==> %2836+%2B576%29%2F9+


==> 612%2F9

==> 68

Hope you found the steps useful...
Regards.

Praseena.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%2Fb%29%5E2+-+%28c%2Fd%29%5E3

%282%2F3%29%5E2+-+%28%28-4%29%2F%28-1%29%29%5E3 plug in the given values

4%2F9+-+-64%2F-1 Evaluate 2%5E2 to get 4 (not 36. I can see that you simply misplaced a '3'), 3%5E2 to get 9, %28-4%29%5E3 to get -64, and %28-1%29%5E3 to get -1


4%2F9+-+64%2F1 Simplify


4%2F9+-+%2864%2F1%29%289%2F9%29 Multiply 64%2F1 by 9%2F9


4%2F9+-+576%2F9 Multiply


-+572%2F9 Combine the fractions

So the answer is %28a%2Fb%29%5E2+-+%28c%2Fd%29%5E3=-+572%2F9 or %28a%2Fb%29%5E2+-+%28c%2Fd%29%5E3=-63.5555556