Question

How do you foil `(6x – 3)(–5x + 2)`?

Answer 1

`=color(blue)(-30x^2+27x-6`

Explanation:

The expression is :`(6x−3)(-5x +2)`

F O I L involves carrying out the below operations in the following order:

1) product of First terms :`(color(blue)(6x and -5x))`+

2)product of Outside terms:`(color(blue)(6x and 2))`+

3)product of Inside terms:`(color(blue)(-3 and -5x))`+

4)product of Last terms:`(color(blue)(-3 and 2))`

1) `6x *-5x=color(blue)(-30x^2) +`

2) `6x* 2=color(blue)(12x)+`

3) `-3 * -5x = color(blue)(+15x)+`

4) `-3 *2 = color(blue)(-6`

adding all the terms

`=color(blue)(-30x^2+12x+15x-6`
`=color(blue)(-30x^2+27x-6`