SOLUTION: Use FOIL to multiply: (6x – 1)(3x – 4)

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Question 145335: Use FOIL to multiply:
(6x – 1)(3x – 4)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%286x+-+1%29%283x+-+4%29 Start with the given expression.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%286x+%29-+1%29%28highlight%283x+%29-+4%29 Multiply the First terms:%286%2Ax+%29%2A%283%2Ax+%29=18%2Ax%5E2.


%28highlight%286x+%29-+1%29%283x+%2Bhighlight%28-+4%29%29 Multiply the Outer terms:%286%2Ax+%29%2A%28-+4%29=-24%2Ax.


%286x+%2Bhighlight%28-+1%29%29%28highlight%283x+%29-+4%29 Multiply the Inner terms:%28-+1%29%2A%283%2Ax+%29=-3%2Ax.


%286x+%2Bhighlight%28-+1%29%29%283x+%2Bhighlight%28-+4%29%29 Multiply the Last terms:%28-+1%29%2A%28-+4%29=4.


18%2Ax%5E2-24%2Ax-3%2Ax%2B4 Now collect every term to make a single expression.


18%2Ax%5E2-27%2Ax%2B4 Now combine like terms


So %286x+-+1%29%283x+-+4%29 FOILS to 18%2Ax%5E2-27%2Ax%2B4.


In other words, %286x+-+1%29%283x+-+4%29=18%2Ax%5E2-27%2Ax%2B4.