Question

Simplify:
x² + 3x + 2 /x² - 4x - 5
x² + 7x + 12 / x²-3x - 28

Answer 1

`\\ \rm\Rrightarrow (x^2+3x+2)/(x^2-4x-5)`

`\\ \rm\Rrightarrow (x^2+2x+x+2)/(x^2-5x+x-5)`

`\\ \rm\Rrightarrow {(x+2)(x+1)}{(x-5)(x+1)}`

`\\ \rm\Rrightarrow (x+2)/(x-5)`

And

`\\ \rm\Rrightarrow (x^2+7x+12)/(x^2-3x-28)`

`\\ \rm\Rrightarrow (x^2+4x+3x+12)/(x^2-7x+4x-28)`

`\\ \rm\Rrightarrow ((x+4)(x+3))/((x-7)(x+4))`

`\\ \rm\Rrightarrow (x+3)/(x-7)`