Question

simplify please give me answers

Answer 1

Hey user

Here is your answer :-

$\frac{3 {x}^{2} - x - 2 }{ {x}^{2} - 7x + 12 } \div \frac{3 {x}^{2} - 7x - 6}{ {x}^{2} - 4 } \\ \\ \frac{3 {x}^{2} - 3x + 2x - 2}{ {x}^{2} - 4x - 3x + 12} \times \frac{(x - 2)(x + 2)}{3 {x}^{2} - 9x + 2x - 6} \\ \\ \frac{3x(x - 1) + 2(x - 1)}{x(x - 4) - 3(x - 4)} \times \frac{(x - 2)(x + 2)}{3x(x - 3) + 2(x - 3)} \\ \\ \frac{(x - 1)(3x + 2)}{(x - 4)(x - 3)} \times \frac{(x - 2)(x + 2)}{(x - 3)(3x + 2) } \\ \\ \frac{(x -1 )(x - 2)(x + 2)}{(x - 4)(x - 3)(x - 3)}$

Thank you.