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Which expression is equivalent to the following complex fraction?


StartFraction 3 Over x minus 1 EndFraction minus 4 divided by 2 minus StartFraction 2 Over x minus 1 EndFraction

StartFraction 2 (x minus 2) Over negative 4 x + 7 EndFraction

StartFraction negative 4 x + 7 Over 2 (x minus 2) EndFraction

StartFraction negative 4 x + 7 Over 2 (x squared minus 2) EndFraction

StartFraction 2 (x squared minus 2) Over (negative 4 x + 7) EndFraction

Which expression is equivalent to the following complex fraction StartFraction 3 Over x minus 1 EndFraction minus 4 divided by 2 minus StartFraction 2 Over

Answer :

Answer:

[tex]\dfrac{-4x+7}{2(x-2)}[/tex]

Step-by-step explanation:

The first step is to combine the parts of the numerator and denominator into one rational expression each. Those will have the same denominator, so their ratio is the ratio of their numerators.

[tex]\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\left(\dfrac{3-4(x-1)}{x-1}\right)}{\left(\dfrac{2(x-1)-2}{x-1}\right)}=\dfrac{3-4(x-1)}{2(x-1)-2}\\\\=\dfrac{3-4x+4}{2x-2-2}=\boxed{\dfrac{-4x+7}{2(x-2)}}[/tex]

Answer:

B

Step-by-step explanation:

I got it right on EDGE

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