How do you evaluate #\frac { m - 1} { 2m ^ { 2} - 10m + 12} - \frac { m - 5} { 2m ^ { 2} - 10m + 12}#?

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Answer 1 · 2017-10-05T08:07:53

#2/((m-3)(m-2)#

Since the denominators in both fractions are the same, we can combine them into one fraction

#(m-1)/(2m^2-10m+12) - (m-5)/(2m^2-10m+12)#

#=((m-1)-(m-5))/(2m^2-10m+12)#

Solving for the numerator

# (m-1-m+5)/(2m^2-10m+12)#

#=4/(2m^2-10m+12)#

Simplify the denominator....

#=4/(2(m-3)(m-2)#

Divide numerator and denominator by 2

#=2/((m-3)(m-2)#

Hope I helped you in this problem!
Cheers!