How do you divide (x^2+6x+5) / (x+5)x2+6x+5x+5?

1 Answer
Jun 29, 2015

(x^2 + 6x + 5)/(x+ 5) = x+1x2+6x+5x+5=x+1

Explanation:

Here, we can factor the numerator.

(x^2 + 6x + 5)/(x+ 5) =((x+5)(x+1))/(x+5)x2+6x+5x+5=(x+5)(x+1)x+5

Now we can cancel x+5x+5 from numerator and denominator.

(x^2 + 6x + 5)/(x+ 5) =(cancel((x+5))(x+1))/(cancel(x+5))

So

(x^2 + 6x + 5)/(x+ 5) = x+1