Question

How do you foil `(5x+2)(3x-7)`?

Answer 1

`=color(blue)(15x^2-29x-14`

Explanation:

The expression is :`(5x +2)(3x-7)`

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

1) product of First terms :`(color(blue)(5x and 3x))`+

2)product of Outside terms:`(color(blue)(5x and -7))`+

3)product of Inside terms:`(color(blue)(2 and 3x))`+

4)product of Last terms:`(color(blue)(2 and -7))`

1) `5x *3x=color(blue)(15x^2) +`

2) `5x * -7=color(blue)(-35x)+`

3) `2 * 3x = color(blue)(6x)+`

4) `2 *-7 = color(blue)(-14`

adding all the terms

`=color(blue)(15x^2-35x+6x-14`
`=color(blue)(15x^2-29x-14`