Simplify:
a. (-18x2y)/(3x)
b. (x-4) (x-1) - 4(x-3) (x+2)

a. -12y  

b. -3x^2 - x + 28

Explanation:

a. The expression:

(-18x*2y)/(3x)

can be simplified computing the division, that is, dividing -18*2 by 3 (which is equal to -12) and dividing x*y by x (which is equal to y). Then, the result is -12y.

b. To simplify the expression:

(x-4)*(x-1) - 4*(x-3)*(x+2)

first, use the distributive property as follows:

(x-4)*(x-1) = x^2 - x - 4x + 4 = x^2 - 5x + 4

4*(x-3)*(x+2) = (4x - 12)*(x+2) = 4x^2 + 8x - 12x -24 = 4x^2 - 4x - 24

Then replace in the original expression:

x^2 - 5x + 4 - (4x^2 - 4x - 24) =

= x^2 - 5x + 4 - 4x^2 + 4x  +24 =

= -3x^2 - x + 28

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