Question

simplify the above question​

Answer 1

Answer:

$\frac{ {x}^{2} + 5x + 6 }{ {x}^{2} + 7x + 10 } \times \frac{ {x}^{2} + 9x + 20 }{ {x}^{2} + 7x + 12} \\ = \frac{{x}^{2} + 2x + 3x+ 6}{{x}^{2} + 2x + 5x + 10} \times \frac{{x}^{2} + 4x + 5x + 20 }{{x}^{2} + 3x + 4x + 12} \\ = \frac{ {x}(x + 2) + 3(x + 2) }{x(x + 2) + 5(x + 2)} \times \frac{x(x + 4) + 5(x + 4)}{x(x + 3) + 4(x + 3)} \\ = \frac{(x + 2)(x + 3)}{(x + 2)(x + 5)} \times \frac{(x + 4)(x + 5)}{(x + 3)(x + 4)} \\ = 1$