SOLUTION: How do I reduce the following fraction to its lowest terms? 6u^2-60u+144/u^2-5u+4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do I reduce the following fraction to its lowest terms? 6u^2-60u+144/u^2-5u+4      Log On


   

Question 60661: How do I reduce the following fraction to its lowest terms?
6u^2-60u+144/u^2-5u+4
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(6u^2-60u+144)/(u^2-5u+4) now factor both equations
6u^2-60u+144
6(u^2-10u+24)
6(u-6)(u-4) now factor the denominator
u^2-5u+4
(u-4)(u-1) now reconstruct the fraction thus
6(u-6)(u-4)/(u-4)(u-1) we have a common factor in both the numerator & denominator and can be factored out of both thus
6(u-6)/(u-1)