Can someone answer this: (1-3x)*(2+i), and also explain the FOIL system?
Can someone answer this: (1-3x)*(2+i), and also explain the FOIL system?
I do not usually teach this method but I shall explain it since you ask.
(1-3x)*(2+i)
The first bracket has 2 terms, they are 1 and -3x
The second bracket also has 2 terms, they are 2 and i
F stands for first that is 1*2 = 2
O stands for outside so that is 1*+i = i
I stands for inner -3x*2 = -6x
L stands for last -3x*i = -3xi
Add them all together and you have
\((1-3x)(2+i)\\=2+i+-6x+-3xi\\ =2+i-6x-3xi\)
i is often used to denote an imaginary number but since this is a low level question I assume that i is a pronumeral the same as x is. :)