Question 161994


FOIL means: first, outside, inside, last. That's not too hard to remember if you say it in your head a few times. 
You use FOIL to multiply the terms inside the parenthesis in a specific order: first, outside, inside, last. Here's how to solve

{{{(5x-1)(3x-2)}}}

First - multiply the first term in each set of parenthesis:

{{{5x * 3x = 15x^2}}}

Outside - multiply the two terms on the outside: 

{{{5x * (-2) = -10x}}}

Inside - multiply both of the inside terms: 

{{{(-1) * 3x = -3x}}}

Last - multiply the last term in each set of parenthesis: 

{{{(-1) * (- 2) = 2}}}


Now just add everything together to get   
{{{15x^2 + (-10x) + (-3x) + 2}}} which is 
{{{15x^2-13x+2}}}