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Which factors compose the least common denominator for this difference?

11x/x²+4x-12 - 7/2x²-4x

•(x+6)
•(x+2)
•(x-4)
•(x-6)
•(x-2)
•2x​

Sagot :

Answer:

2x, (x-2), (x+6)

Step-by-step explanation:

I just took the quiz on plato and I got it correct

P.S Can you guys give me the brainliest please

The least common denominator for the function  [tex]\frac{11x}{x^{2} +4x-12} -\frac{7}{2x^{2} -4x}[/tex]  is     (x -2).

What is least common denominator?

The least common multiple of a group of fractions' denominators is known as the lowest common denominator, or Least Common Denominator.

Calculation for the least common denominator:

Consider the given expression,

[tex]\frac{11x}{x^{2} +4x-12} -\frac{7}{2x^{2} -4x}[/tex]

Further simplifying the equation by factorisation of the denominator part

= [tex]\frac{11x}{x^{2} +6x-2x-12} -\frac{7}{2x(x -2)}[/tex]

= [tex]\frac{11x}{(x+6)(x-2)} -\frac{7}{2x(x -2)}[/tex]

= [tex]\frac{1}{x-2}[/tex]×[tex][\frac{11x}{(x+6)} -\frac{7}{2x}][/tex]

Therefore, from the above result, it is found that (x-2) is the least common denominator that can be taken.

To know more about factorisation, here

https://brainly.com/question/10718512

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