Question

(x^2 + 6x + 9) / (5x + 15)

Answer 1

(x+3)/5

Answer 2

how did you get that:?

Answer 3

I see that x^2 + 6x + 9 is a perfect square of x + 3.
In other words, we can factor \(x^2 + 6x + 9 \) as \((x+3)^2\)

5x + 15 has a common factor of 5, so it's factored as 5(x + 3)

Hint: Something gets cancelled now :D

Answer 4

x + 3?

Answer 5

yes, x + 3 gets cancelled. What are you left with?

Answer 6

x2 + 6x + 9 / 5?

Answer 7

Obviously, you are left with:

\(\Large \color{Black}{\Rightarrow {(x + 3)\cancel{(x + 3)} \over 5\cancel{(x + 3)}} }\)

\(\Large \color{Black}{\Rightarrow {x + 3 \over 5} }\)

Answer 8

right sorry I had a terible connction