PLS HURRY For the expression StartFraction 9 x squared minus 8 Over (3 x squared minus 4) squared EndFraction, which sum represents the correct form of the partial fraction decomposition? StartFraction A x + B Over 3 x squared minus 4 EndFraction + StartFraction C x + D Over (3 x squared minus 4) squared EndFraction StartFraction A Over 3 x squared minus 4 EndFraction + StartFraction B Over (3 x squared minus 4) squared EndFraction StartFraction A x + B Over (3 x squared minus 4) squared EndFraction + StartFraction C x + D Over (3 x squared minus 4) squared EndFraction StartFraction A Over (3 x squared minus 4) squared EndFraction + StartFraction B Over (3 x squared minus 4) squared EndFraction

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ciaandreia0825 ciaandreia0825

25-05-2022
Mathematics

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PLS HURRY For the expression StartFraction 9 x squared minus 8 Over (3 x squared minus 4) squared EndFraction, which sum represents the correct form of the partial fraction decomposition? StartFraction A x + B Over 3 x squared minus 4 EndFraction + StartFraction C x + D Over (3 x squared minus 4) squared EndFraction StartFraction A Over 3 x squared minus 4 EndFraction + StartFraction B Over (3 x squared minus 4) squared EndFraction StartFraction A x + B Over (3 x squared minus 4) squared EndFraction + StartFraction C x + D Over (3 x squared minus 4) squared EndFraction StartFraction A Over (3 x squared minus 4) squared EndFraction + StartFraction B Over (3 x squared minus 4) squared EndFraction

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maheshpatelvVT maheshpatelvVT · Answer 1 · 2022-05-26T14:22:15+02:00

The option second StartFraction A Over 3 x squared minus 4 EndFraction + StartFraction B Over (3 x squared minus 4) squared EndFraction is 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]

We can write it in the partial form like:

[tex]\rm \dfrac{9x^2-8}{3x^2+4} =\dfrac{A}{3x^2+4}+\dfrac{B}{(3x^2+4)^2}[/tex]

Thus, the option StartFraction A Over 3 x squared minus 4 EndFraction + StartFraction B Over (3 x squared minus 4) squared EndFraction is correct.

Learn more about the partial fraction here:

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