find the LCD for the following rational expressions. -3 / (x^2 - 2x) + 1 / 2x (x^2 - 5x + 4)

a) ( x - 1) (x - 4)
b) (x - 1)^3 (x - 40
c) (x - 1) (x + 4)
d) (x - 1)^2 (x - 4)

did i write it the correct way

1 answer

-3 / (x^2 - 2x) + 1 /[2x (x^2 - 5x + 4)]

-3/[x(x-2)] + 1/[2x(x-4)(x-1)]

I think maybe a typo
perhaps should be
-3 / (x^2 - 4x) + 1 /[2x (x^2 - 5x + 4)]

-3/[x(x-4)] + 1/[2x(x-4)(x-1)]
multiply top and bottom of first by 2(x-1)

-6(x-1)/[2x(x-4)(x-1)] + 1/[2x(x-4)(x-1)]

[-6x+7]/[2x(x-4)(x-1)]
nope, please check carefully for typos in original.