SOLUTION: I'm having a hard time understanding the AC method. I have the following problem that has to be solved using the AC method, and I'm lost. Please help. 6m^6n+7m^5n^2+2m^4n^3

Question 107879This question is from textbook
: I'm having a hard time understanding the AC method. I have the following problem that has to be solved using the AC method, and I'm lost. Please help.
6m^6n+7m^5n^2+2m^4n^3 This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Take the first coefficient (6) and the last coefficient (2) and multiply them to get 12. Now what two numbers multiply to 12 but add to the middle coefficient of 7?

It turns out that 4 and 3 multiply to 12 and add to 7.

Now replace the middle term with the sum (these two are equivalent)

Group like terms

Factor out the GCF out of the first group

Factor out the GCF out of the second group

Notice we have a common term of 3m+2n, this means we can combine like terms

Combine like terms

Notice how foils to , so this verifies our answer.

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