Question

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

Answer 1

`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`

Answer 2

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`