Simplify #-(x^2-6x+5)/(x^2-10x+25)#?

1 Answer
Shwetank Mauria
Feb 8, 2016

#(1-x)/(x-5)#

Explanation:

To simplify the expression, one should factorize both the expressions in numerator and denominator.

Factors of numerator are #-(x-5)(x-1)#.

Factors of denominator are #(x-5)^2#

Hence it could be written as

#-((x-5)(x-1))/(x-5)^2# or #-(x-1)/(x-5)# or

#(1-x)/(x-5)#

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