SOLUTION: 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 - 4) c)(x - 1) (x + 4) d)(x

Algebra ->  Rational-functions -> SOLUTION: 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 - 4) c)(x - 1) (x + 4) d)(x      Log On


   

Question 319823:
Find the LCD for the following rational expressions.
%28-3+%2F+%28x%5E2+-+2x+%2B+1%29%29+%282x+%2F+%28x%5E2+-+5x+%2B+4%29%29
a)( x - 1) (x - 4)
b)(x - 1)^3 (x - 4)
c)(x - 1) (x + 4)
d)(x - 1)^2 (x - 4)
Answer by braithiar(3) About Me  (Show Source):
You can put this solution on YOUR website!
Factor each denominator:
x%5E2-2x%2B1+=+%28x-1%29%5E2
x%5E2-5x%2B4+=+%28x-4%29%28x-1%29
For the LCD we need %28x-4%29 and %28x-1%29%5E2, so the answer is D. There's no need to take the other %28x-1%29.