SOLUTION: Good morning guys This is my equation (under the rational expression section in my textbook) Simplify (2x^3-2x^2-12x)(x^4-2x^3-8x^2)^-1 (That is a negative one) What I've

Question 266289: Good morning guys
This is my equation (under the rational expression section in my textbook)
Simplify (2x^3-2x^2-12x)(x^4-2x^3-8x^2)^-1 (That is a negative one)
What I've done so far
Factored both polynomials
(2x^2-2x)(x+6)
_____________
(x^2+2x)(x^2+4x^2)
Since it is a -1 I followed the text book instructions and put
(2x^2-2x)(-1)(6+x)
_______________
(x^2+2x)(x^2+4x^2)
That's where I lose track.
Any help is welcome. Thank you very much!
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!

When you have something like:
a^(-2)
To make it a positive exponent you can move it to the denominator:
1/a^2
.
Similarly:
1/a^(-2)
To make it a positive exponent, move it the numerator:
a^2
.
Your problem then:
(2x^3-2x^2-12x)(x^4-2x^3-8x^2)^-1
can be written as a fraction:
(2x^3-2x^2-12x)
-----------------
(x^4-2x^3-8x^2)
.
Now, factoring out what's common:
2x(x^2-x-6)
-----------------
x^2(x^2-2x-8)
.
2x(x-3)(x+2)
-----------------
x^2(x-4)(x+2)
.
Canceling like-terms, we get:
2(x-3)
--------
x(x-4)

RELATED QUESTIONS
Good morning guys. My question: Simplify (4x^2-y^2)/(2x+y)... (answered by Alan3354)

Good morning guys here is my question simplify: x^-1+2x^-2 __________ 1+x^-1 (answered by jim_thompson5910)

Good morning guys, Quick question divide 2x^3-7x^2-8x+16 by x-4 using long... (answered by rfer)

Solve this equation: (I am checking my homework to see if i got it right)... (answered by Alan3354)

simplify this rational expression: x -3 ----------- x^2 + 2x � 15 (answered by fcabanski,Cromlix)

I have read my textbook, and I don't understand. List all numbers for which the... (answered by drk)

simplify- 3x(4+2y)-2x(3+8y) This is my answer- 12x +6xy-6x+16xy Why is this... (answered by longjonsilver)

Good afternoon guys. This is the equation. Solve (x+2)^2+7(x+2)=18 This is whatI... (answered by drk)

What is the domain in interval notation of the rational function: f(x) = 8x^2+2x-3/x^2-4x (answered by josgarithmetic)