SOLUTION: Could you plese help me perform the indicated operations? I think I'm starting with the wrong strategy. (3k^3 -5k^2 +8k-2) -(4k^3+11k+7) +(2k^2-5k)<-- original problem k^2(3k

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Question 689905: Could you plese help me perform the indicated operations? I think I'm starting with the wrong strategy.
(3k^3 -5k^2 +8k-2) -(4k^3+11k+7) +(2k^2-5k)<-- original problem
k^2(3k-5) + 2(4k - 1) that's as far as I got because the method of factoring didn't seem to work for the next operation.
Sincerely,
Amy B
abyrd30@ivytech.edu

Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website!
No factoring needed for this problem. All you have to do is eliminate parentheses, and collect like terms to simplify:

Note that when I eliminate the parenthesis preceded by a minus sign, I have to change the sign of the coefficients that were in that parenthesis.
That makes sense, because when go to a store with 20 dollars, and you pay for something that costs 5 dollars and 15 cents, you are subtracting from your wallet (5 dollars + 15 cents).
After you take that amount from you wallet, you subtracted the 5 dollars and you subtracted the 15 cents.
You are left with
20 dollars - (5 dollars+15 cents) = 20 dollars - 5 dollars - 15 cents.

Then,

I am using brackets to show how I rearranged the terms to collect like terms, but I would normally skip that intermediate expression, and get directly to