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`(16x^4)/(2x - 1)^3` Write the partial fraction decomposition of the improper rational expression.

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`(16x^4)/(2x-1)^3`

Since the rational expression is an improper expression, we have to express the fraction as a sum of simpler fractions with the degree of the polynomial in the numerator less than the degree of the polynomial in the denominator.

Let's expand the denominator of the rational expression,

`(16x^4)/(2x-1)^3=(16x^4)/(8x^3-12x^2+6x-1)`   

Dividing using the long division method yields,

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