SOLUTION: Perform the indicated operation. (5y squared - 3y + 4)-(3y squared - 7y + 2)

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Question 115087: Perform the indicated operation.
(5y squared - 3y + 4)-(3y squared - 7y + 2)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
You want to simplify:

%285y%5E2-3y%2B4%29-%283y%5E2-7y%2B2%29

The biggest mistake people make with this sort of problem is forgetting to distribute the minus sign across each of the terms in the second set of parentheses. You should remove the parentheses first:

5y%5E2-3y%2B4-3y%5E2%2B7y-2 Look carefully at the signs on the last three terms.

Now, rearrange the terms to collect like terms.

5y%5E2-3y%5E2-3y%2B7y%2B4-2

And then combine like terms.

2y%5E2%2B4y%2B2 and you are done.