SOLUTION: multiply the expression (5m - 6n + 7) (2m - 3n - 4)

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Question 66506: multiply the expression
(5m - 6n + 7) (2m - 3n - 4)

Answer by rcmcc(152)   (Show Source): You can put this solution on YOUR website!
(5m - 6n + 7)(2m - 3n - 4)
to multiply out this term we use a method known as foiling. You multiply each term in the first equation by each term in the second equation.
I will break this down step by step.
Take 5m and multiply it.
5m(2m - 3n - 4)
10m^2-15mn-20m (hold onto this we will use it later.)
now -6n
-6n(2m - 3n - 4)
-12mn+18n^2+24n(hold onto this we will use it later.)
now we will multiply out 7.
7(2m - 3n - 4)
14m-21n-28
You now take all the results from the foil process and line them up.
10m^2-15mn-20m-12mn+18n^2+24n+14m-21n-28
you combine all like terms
10m^2+18n^2-27mn-6m+3n-28
this is your answer


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