Use FOIL to simplify the expression " "(2x+3)(x-1) ?

2 Answers
Feb 9, 2018

2x^2 + x -3

Explanation:

F " " Firsts
O" " Outers
I" " Inners
L" "Lasts

1) Do 2x times x = 2x^2
2) Do 2x times -1 = -2x
3) Do 3 times x = 3x
4) Do 3 times -1 = -3

5) Put all of the terms in order.
2x^2 -2x +3x -3

6) Add or subtract like terms
2x^2 + x -3

Feb 23, 2018

For reference. This is the same sort of thing as FOIL

Explanation:

color(blue)((2x+3))color(green)((x-1))

Multiply everything in the right hand brackets by everything in the left.

color(green)(color(blue)(2x)(x-1)color(blue)(color(white)(dd"d")+3)(x-1))" " Notice the way the + follows the 3

2x^2-2xcolor(white)("ddd")+3x-3

2x^2+x-3