Answer:
2. The denominator of the fully simplified expression will be x – 1.
4. The numerator of the fully simplified expression will be –3x + 10.
Step-by-step explanation:
Given the rational expression
[tex]\dfrac{7x+5}{x-1} -(\dfrac{8x-1}{x-1} +\dfrac{2x-4}{x-1} )[/tex]
Let us first simplify before making our deductions.
Opening the brackets
[tex]\dfrac{7x+5}{x-1} -(\dfrac{8x-1}{x-1} +\dfrac{2x-4}{x-1} )=\dfrac{7x+5}{x-1} -\dfrac{8x-1}{x-1} -\dfrac{2x-4}{x-1}[/tex]
Taking LCM
[tex]=\dfrac{7x+5-(8x-1)-(2x-4)}{x-1}[/tex]
Opening the brackets and simplifying
[tex]=\dfrac{7x+5-8x+1-2x+4}{x-1}\\\text{Collecting like terms in the numerator}\\=\dfrac{7x-8x-2x+5+1+4}{x-1}\\=\dfrac{-3x+10}{x-1}[/tex]
The following statements are therefore true:
2. The denominator of the fully simplified expression will be x – 1.
4. The numerator of the fully simplified expression will be –3x + 10.
Answer:
B , D
Step-by-step explanation:
Correct on edge 2021. Just took the test, have a good day <3
