Please help me in solving this equations?

Question

The topic is about "Simplifying Rational Algebraic Expressions"

1. x (squared) + 11x + 30
-------------------------------- = ?
3ax (squared) + 15ax

2. 4x (squared) - 1
--------------------------- = ?
2x (squared) - 5x - 3

3. an (squared) + 6an + 9a
---------------------------------- = ?
n (squared) - 5x - 3

4. 5x + 20
---------------------------- = ?
15x (squared) + 60x

lastly,

5. x + 1
----------------- = ?
x (cubed) - x

I hope that you get to help me. This is due on Monday. I'm really sorry if it is a bit tensing or something like that. I just can get it at all :( and please if some of you are just here to fool me or something then you're not welcome here. And if some of you are willing to help... thanks a lot!! <3

Answer 1

1. x (squared) + 11x + 30
------------------------------... = ?
3ax (squared) + 15ax


=(x+5)(x+6)/3ax(x+5)

=(x+6)/3ax


2. 4x (squared) - 1
--------------------------- = ?
2x (squared) - 5x - 3


(2x-1)(2x+1)/(2x+1)(x-3)

=(2x-1)(x-3)

3. an (squared) + 6an + 9a
------------------------------... = ?
n (squared) - 5x - 3

=a(n^2+6n+9)/(n^2 - 5x - 3)

=a(n+3)(n+3)/(n^2 - 5x - 3)


4. 5x + 20
---------------------------- = ?
15x (squared) + 60x

=5(x+4)/(15x(x+4)

=1/3x


5. x + 1
----------------- = ?
x (cubed) - x

(x+1)/(x(x^2-1)

=1/x(x-1)


N.B.: the third question must be checked, n or x?

Answer 2

Wait a little
for 1
(x+6)/3ax