Question

How do you simplify `(x^2+12x+11) * (x+9) /( x^2+20x+99)`?

Answer 1

Factor and cancel identical terms in the numerator and denominator to get `x+1`

Explanation:

`(color(red)(x^2+12x+11))⋅(color(blue)(x+9))/(color(green)(x^2+20x+99))`

`= (color(red)((x+1)(x+11))color(blue)((x+9))) / (color(green)((x+9)(x+11))`

`= (color(red)((x+1)cancel((x+11)))color(blue)(cancel((x+9)))) / (color(green)(cancel((x+9))cancel((x+11)))`

`=x+1`