How do you simplify (2x - 4)/ (x^2 - 3x + 2) times (x^2 - 4x)/4?

1 Answer
Jul 2, 2018

(x(x-4))/(2(x-1))

Explanation:

Lets find the common factors of each term as explained below:

2x-4 = 2(x-2)

x^2-4x = x(x-4)

x^2-3x+2 = x^2-1x-2x+2 = x(x-1)-2(x-1) = (x-2)(x-1)

So now we have:

(2(x-2))/((x-2)(x-1)) xx (x(x-4))/4

(2cancel(x-2))/(cancel(x-2)(x-1)) xx (x(x-4))/4

(x(x-4))/(2(x-1))