SOLUTION: multiply (2x-3)(3x+2), i used the foil method First times first 2x times 3x, outside times outside 2x + 2, inside times inside -3 times 3x, then last times last -3 times +2 a

Algebra ->  Equations -> SOLUTION: multiply (2x-3)(3x+2), i used the foil method First times first 2x times 3x, outside times outside 2x + 2, inside times inside -3 times 3x, then last times last -3 times +2 a      Log On


   



Question 90535: multiply (2x-3)(3x+2), i used the foil method
First times first 2x times 3x, outside times outside 2x + 2, inside times inside -3 times 3x, then last times last -3 times +2
answer 6xsquared minus 4x minus 6

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given expression

%282x-3%29%283x%2B2%29

When you FOIL, you multiply the terms in this order:
F-First (i.e. you multiply the first terms in each parenthesis which in this case are 2x and 2x)
O-Outer (i.e. you multiply the outer terms in each parenthesis which in this case are 2x and -3)
I-Inner (i.e. you multiply the inner terms in each parenthesis which in this case are -3 and 2x)
L-Last (i.e. you multiply the last terms in each parenthesis which in this case are -3 and -3)


So lets multiply the first terms:
2x%2A3x=6x%5E2 multiply 2x and 3x to get 6x%5E2



So lets multiply the outer terms:
2x%2A2=4x multiply 2x and 2 to get 4x



So lets multiply the inner terms:
-3%2A3x=-9x multiply -3 and 3x to get -9x



So lets multiply the last terms:
-3%2A2=-6 multiply -3 and 2 to get -6

Now lets put all the multiplied terms together
6x%5E2%2B4x-9x-6

Now combine like terms

6x%5E2-5x-6

So the expression

%282x-3%29%283x%2B2%29

FOILs to:

6x%5E2-5x-6