How do you simplify (x^2+12x+11) * (x+9) /( x^2+20x+99)(x2+12x+11)x+9x2+20x+99?

1 Answer
Jul 22, 2015

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

Explanation:

(color(red)(x^2+12x+11))⋅(color(blue)(x+9))/(color(green)(x^2+20x+99))(x2+12x+11)x+9x2+20x+99

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