Question 462278
(x+4)(x-5)-(x+3)(x-6) 
Yes, you would begin by FOILing:
(x^2-5x+4x-20)-(x^2-6x+3x-18)
(x^2-x-20)-(x^2-3x-18)
Now, distribute the "negative sign" to each term inside right parenthesis:
x^2-x-20-x^2+3x+18
-x-20+3x+18
2x-20+18
2x-2