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An Initially Messy Fraction

SATMAT-SQCOHL

The fraction:

$$\cfrac { 3{ x }^{ 2 }-75 }{ 6{ x }^{ 2 }-36x+30 }$$

...can be re-written as which of the following simpler fractions?

(No Calculator)

A

$-\cfrac { 15 }{ 36x+8 } $

B

$\cfrac { x+5 }{ 2x-2 }$

C

$\cfrac { x-5 }{ 2x-2 }$

D

$\cfrac { x+5 }{ 3x-3 }$