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5\frac{x^2+3x+5}{2x-1}\cdot\frac{2x^2-2x-13}{4x^2-4x+1}

Solve (3x+5+x^2)/(2x-1)(-2x-13+2x^2)/(-4x+1+4x^2)*5

Answer

$\frac{10\left(\left(x-\frac{3}{2}\right)^2+\frac{11}{4}\right)\left(-\frac{13}{2}-x+x^2\right)}{\left(2x-1\right)^{3}}$

Step-by-step explanation

Problem

$5\frac{x^2+3x+5}{2x-1}\cdot\frac{2x^2-2x-13}{4x^2-4x+1}$
1

Multiplying the fraction and term

$\frac{\frac{5\left(5+3x+x^2\right)\left(-13-2x+2x^2\right)}{2x-1}}{1-4x+4x^2}$

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Answer

$\frac{10\left(\left(x-\frac{3}{2}\right)^2+\frac{11}{4}\right)\left(-\frac{13}{2}-x+x^2\right)}{\left(2x-1\right)^{3}}$

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