Final Answer
$\frac{\left(1-\frac{3}{2}x^2\right)\left(x-3\right)}{x\left(-4+3x\right)}$
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Step-by-step Solution
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1
Combining like terms $-2x$ and $\frac{x}{2}$
$\frac{\frac{1}{x}+\left(-2+\frac{1}{2}\right)x}{1+\frac{2x-1}{x-3}}$
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$\frac{\frac{1}{x}+\left(-2+\frac{1}{2}\right)x}{1+\frac{2x-1}{x-3}}$
Learn how to solve polynomial long division problems step by step online. Simplify the expression (1/x-2xx/2)/(1+(2x-1)/(x-3)). Combining like terms -2x and \frac{x}{2}. Divide 1 by 2. Subtract the values \frac{1}{2} and -2. Combine 1+\frac{2x-1}{x-3} in a single fraction.
Final Answer
$\frac{\left(1-\frac{3}{2}x^2\right)\left(x-3\right)}{x\left(-4+3x\right)}$