The option second represents the partial fraction of the provided expression, option second is the correct.
What is partial fraction?
The partial fraction decomposition or partial fraction expansion of a rational fraction is an algebraic operation that involves writing the fraction as a sum of a polynomial and one or more fractions with a simpler denominator.
We have an expression:
[tex]= \rm \dfrac{9x^2-8}{3x^2+4}[/tex]
As per the definition, we can break the above expression into two fractions:
[tex]\rm \dfrac{9x^2-8}{3x^2+4}= \rm \dfrac{A}{3x^2+4}+\dfrac{B}{(3x^2+4)^2}[/tex]
Thus, the option second represents the partial fraction of the provided expression option second is the correct.
Learn more about the partial fraction here:
brainly.com/question/25538381
#SPJ1
