SOLUTION: divide and simplify 2x^2-7x-15/x^2-4 divided by 10x+15/x^2-4 i know you have to multiply by the reciprocal which cancels out the x^2-4. i am now stuck on the rest of the probl

Algebra.Com
Question 417491: divide and simplify
2x^2-7x-15/x^2-4 divided by 10x+15/x^2-4
i know you have to multiply by the reciprocal which cancels out the x^2-4.
i am now stuck on the rest of the problem..
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
divide and simplify
2x^2-7x-15/x^2-4 divided by 10x+15/x^2-4
i know you have to multiply by the reciprocal which cancels out the x^2-4.
----
Having canceled the (x^2-4) you have:
(2x^2-7x-15)/(10x+15)
-----
= (2x^2-10x+3x-15)/(5(2x+3))
---
= (2x(x-5)+3(x-5))/(5(2x+3))
----
= ((x-5)(2x+3))/(5(2x+3))
----
= (x-5)/5
=================
Cheers,
Stan H.
=========


Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi

  

|Yes, the (x^2-4) cancel by multiplying both numerator and denominator by (x^2-4)

  

  

 

RELATED QUESTIONS


Divide and Simplify:

2x^2+11x+12/x^2-7x+10 divided by... (answered by ankor@dixie-net.com)

Divide and Simplify

2x^2+11x+12/x^2-7x+10 divided by x^2+x-12/x^2-8x+15

Thanks... (answered by hehe)

I have tried to simplify this problem 4 different ways but cannot match the answer in the  (answered by Alan3354)

Are any of these wrong? I've done the work, I would just like to know which ones are... (answered by stanbon)

Divide and Simplify
V^2-4/25v+50 divided by v-2/10
I know that I have to divide by the... (answered by jim_thompson5910)

The problem states to simplify.

(3x+3y+3)/9x ÷ (x^2+ 2xy+y^2- 1)/(x^4+ x^2 ) 

I... (answered by oscargut)

Simplify the complex fraction:
4 + 2/x / x/4 + 1/8
The first thing I have to do is... (answered by josmiceli)

divide and if possible simplify
x^2+7x+10/x+5 divided by... (answered by ankor@dixie-net.com)

Divide and, if possible, simplify.

x^2 + 7x + 10/x + 5 divided by x^2 - 4/5x -... (answered by jim_thompson5910)