Respuesta :

The partial fraction decomposition of the expression 9x^2 - 8/3x^2 + 4 is [tex]\frac{9x^2}{3x^2 + 4} - \frac{8}{3x^2 + 4}[/tex]

How to express as a partial fraction?

The expression is given as:

9x^2 - 8/3x^2 + 4

Rewrite properly as follows:

[tex]\frac{9x^2 - 8}{3x^2 + 4}[/tex]

Split the expression as follows:

[tex]\frac{9x^2}{3x^2 + 4} - \frac{8}{3x^2 + 4}[/tex]

Hence, the partial fraction decomposition of the expression 9x^2 - 8/3x^2 + 4 is [tex]\frac{9x^2}{3x^2 + 4} - \frac{8}{3x^2 + 4}[/tex]

Read more about partial fraction decomposition at:

https://brainly.com/question/12783868

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