# How do you foil (10x – 11)(–14x + 9)?

Apr 24, 2018

$- 140 {x}^{2} + 244 x - 99$

#### Explanation:

FOIL stands for Firsts, Outsides, Insides, Lasts, meaning we multiply the terms in the binomial in that order.

• First terms: $10 x \cdot - 14 x = - 140 {x}^{2}$
• Outside terms: $10 x \cdot 9 = 90 x$
• Inside terms: $- 11 \cdot - 14 x = 154 x$
• Last terms: $- 11 \cdot 9 = - 99$

Thus we have

$- 140 {x}^{2} + 90 x - 154 x - 99$

The middle will simplify to $244 x$ and we're left with:

$- 140 {x}^{2} + 244 x - 99$

Hope this helps!