Question 1169451
Have I simplified the problem correctly?

3x^2 + 6x -45 divided by 3x^2 +21x+30 =

I come up with answer of 3(x=5)(x-3) over 3x^2 +21X + 30

Thank you
<pre>Your answer is <b><u>INCORRECT</b></u>!
You seem to have factored the numerator-expression, but NOT the denominator-expression. 
I'd assume that 3(x = 5)(x - 3) is actually 3(x + 5)(x - 3). In that case, the numerator-expression was correctly factored. 
Now, you just need to factor the denominator and cancel like-factors in the numerator and denominator, as follows:
{{{highlight_green(matrix(1,9, (3x^2 + 6x - 45)/(3x^2 + 21x + 30), "=====>",
(3(x^2 + 2x - 15))/(3(x^2 + 7x + 10)), "=====>", 
(3(x + 5)(x - 3))/(3(x + 5)(x + 2)), "=====>",
(cross(3)cross((x + 5))(x - 3))/(cross(3)cross((x + 5))(x + 2)), "=", highlight((x - 3)/(x + 2))))}}}