Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Given the rational expression 12x²-108/36x-108, which of the following represents its simplest formA) 12(x+3)/36B) x²-9/3(x-3)C) x+3/3D) x/3

Sagot :

Given the expression :

[tex]\frac{12x^2-108}{36x-108}=\frac{12(x^2-9)}{36(x-3)}=\frac{12(x+3)(x-3)}{12\cdot3\cdot(x-3)}=\frac{x+3}{3}[/tex]

Note : we have taken 12 as common from 12x²-108, the result will be 12 (x²- 9 )

and 36 as a common from 36x-108, the result will be 36 ( x - 3 )

(x²- 9 ) = ( x - 3) ( x + 3) [ the difference between two complete squares ]

then we have simplified the rational expression

so, the answer is option c) (x+3)/3

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.