Question

Please help for brainliest

Answer 1

$Given : \frac{\frac{x^2 + 4x + 3}{2x - 1}}{\frac{x^2 + x}{2x^2 - 3x + 1}}$

$\implies \frac{x^2 + 4x + 3}{2x - 1} \times {\frac{2x^2 - 3x + 1}{x(x + 1)}$

$\implies \frac{x^2 + 3x + x + 3}{2x - 1} \times {\frac{2x^2 - 2x - x + 1}{x(x + 1)}$

$\implies \frac{x(x + 3) + (x + 3)}{2x - 1} \times {\frac{2x(x - 1) - (x - 1)}{x(x + 1)}$

$\implies \frac{(x + 1)(x + 3)}{2x - 1} \times {\frac{(2x - 1)(x - 1)}{x(x + 1)}$

$\implies \frac{(x + 3)(x - 1)}{x}$

Option 3 is the Answer

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$Given : \frac{2(x + 3)}{x(x - 1)} \times {\frac{4x(x + 2)}{10(x + 3)}$

$\implies \frac{2}{(x - 1)} \times {\frac{4(x + 2)}{10}$

$\implies {\frac{4(x + 2)}{5(x - 1)}$