Question

How do you foil `(–14x + 11)(–9x + 19)`?

Answer 1

`=color(blue)(126x^2-365x+209`

Explanation:

The expression is :`(–14x+11)(–9x+19)`

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

1) product of First terms :`(color(blue)(-14x and -9x))`+

2)product of Outside terms:`(color(blue)(-14x and 19))`+

3)product of Inside terms:`(color(blue)(11 and -9x))`+

4)product of Last terms:`(color(blue)(11 and 19))`

1) `-14x *-9x=color(blue)(126x^2) +`

2) `-14x * 19=-color(blue)(266x)+`

3) `11 * -9x = color(blue)(-99x)+`

4) `11 *19 = color(blue)209`

adding all the terms

`=color(blue)(126x^2-266x-99x+209`
`=color(blue)(126x^2-365x+209`