Question

What is the simplest form of x^2+5-6/x^2+9x+18

Answer 1

`\bf \begin{array}{lcclll} x^2&+5x&-6\\ &\uparrow &\uparrow \\ &-6+1&-6\cdot 1 \end{array}\implies (x-6)(x+1)\\\\ -------------------------------\\\\ \begin{array}{lcclll} x^2&+9x&+18\\ &\uparrow &\uparrow \\ &6+3&6\cdot 3 \end{array}\implies (x+6)(x+3)\\\\ -------------------------------\\\\ thus\implies \cfrac{x^2+5x-6}{x^2+9x+18}\implies \cfrac{(x+6)(x-1)}{(x+6)(x+3)}\implies \cfrac{x-1}{x+3}`

Answer 2

To make it easier, the answer is C for e2020 :)