SOLUTION: im having trouble solving the following problem. {{{(c^2-6cd-2d^2)+(7c-cd+8d^2)-(-c^2+5cd-d^2)}}} Thank you for your help.

Algebra ->  Algebra  -> Sequences-and-series -> SOLUTION: im having trouble solving the following problem. {{{(c^2-6cd-2d^2)+(7c-cd+8d^2)-(-c^2+5cd-d^2)}}} Thank you for your help.      Log On

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Question 177120: im having trouble solving the following problem.
%28c%5E2-6cd-2d%5E2%29%2B%287c-cd%2B8d%5E2%29-%28-c%5E2%2B5cd-d%5E2%29

Thank you for your help.
Answer by colliefan(239) About Me  (Show Source):
You can put this solution on YOUR website!
(c^2-6cd-2d^2)+(7c-cd+8d^2)-(-c^2+5cd-d^2)
First, make sure you don't create any errors in signs by changing the subtraction of the last quantity in parentheses to addition.
%28c%5E2-6cd-2d%5E2%29%2B%287c-cd%2B8d%5E2%29+%2B+-1%2A%28-c%5E2%2B5cd-d%5E2%29

%28c%5E2-6cd-2d%5E2%29%2B%287c-cd%2B8d%5E2%29%2Bc%5E2-5cd%2Bd%5E2
Then, since there are no other operations than the addition and subtraction between these terms, regroup them so like terms are together. Like terms have the same variables raised to the same powers.
c%5E2%2Bc%5E2-2d%5E2%2B8d%5E2%2Bd%5E2-6cd-cd-5cd%2B7c
Then, you can combine the like terms.
2c%5E2%2B7d%5E2-12cd%2B7c
These terms are not like terms and so this cannot be simplified.