# How do you foil  (6x – 3)(–5x + 2)?

Aug 26, 2015

=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 :$\left(\textcolor{b l u e}{6 x \mathmr{and} - 5 x}\right)$+

2)product of Outside terms:$\left(\textcolor{b l u e}{6 x \mathmr{and} 2}\right)$+

3)product of Inside terms:$\left(\textcolor{b l u e}{- 3 \mathmr{and} - 5 x}\right)$+

4)product of Last terms:$\left(\textcolor{b l u e}{- 3 \mathmr{and} 2}\right)$

1) $6 x \cdot - 5 x = \textcolor{b l u e}{- 30 {x}^{2}} +$

2) $6 x \cdot 2 = \textcolor{b l u e}{12 x} +$

3) $- 3 \cdot - 5 x = \textcolor{b l u e}{+ 15 x} +$

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

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