Question

Can someone please help me fix this math question?
Please? I will fan and give a medal!!
Please help me to simplify this rational expression -

Answer 1

(4x^2-6x-18) (x^2+1)
------------ * ----------
(x+1) (x^2-6x+9)

Answer 2

these are the Steps I did-
(4x^3-6x-18)(x^2+1)
----------------------
(x+1)(x^2-6x+9)

(4x^2-6x-18) =
2(2x^2-3x-9)=
2(2x^2-6x+3x-9)=
2(2x^2-6x)+(3x-9)=
2(2x^2(x-3)+3(x-3)
2(x-3)(2x+3)=
2x^3
-------------
(x+1)(x^2-6x+9)

Answer 3

This is what my teacher said was wrong -
Make your steps look like this example -
(8y) (7x)
------ * ------
(14x^2) (8z^3)

Steps--

1 1 1 1 1
2*2*2*y * 7 * z'
----------------------
2*7*x*x 2*2*2*z*z*z
1 1 1 1 1

1*1*1*y*1*1
-------------------
2*1*1*x*1*1*1*z*z*z

y
2xz3

Answer 4

the first problem becomes
\[ \frac{2(x-3)(2x+3)(x^2+1) }{(x+1) (x-3)^2}\]
we can cancel (x-3) from the top and bottom. nothing else simplifies
\[ \frac{2(2x+3)(x^2+1) }{(x+1) (x-3)}\]

Answer 5

what is the question for the 2nd problem ?

Answer 6

You mean the example?

Answer 7

oh, that was an example? never mind.

are you ok with the first problem ?

Answer 8

I see you factored (4x^2-6x-18) into 2(x-3)(2x+3)

but I can't follow what you did after that ?

Answer 9

the other step would be to factor (x^2-6x+9) (which is in the "bottom")

Answer 10

I think my teacher just wants me to rewrite the steps so they will make more sense, but I'm not sure how to rewrite them

Answer 11

***
these are the Steps I did-
(4x^3-6x-18)(x^2+1)
----------------------
(x+1)(x^2-6x+9)
****

I assume you mean 4x^2 not 4x^3 , right ?

Answer 12

can you factor (x^2-6x+9)

Answer 13

It's 4x^2 sorry I messed up typing it

Answer 14

ok. meanwhile, can you factor x^2-6x+9 ?