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

2 Answers

Answer:

#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

Answer:

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#