SOLUTION: 1. How do you work 3 + 1/x divided by 2 - 2/x 2. x + y divided by 1/x + 1/y 3. 4 + 11/2x divided by 3 - 11/2x 4. 2x(squared) + x - 15 divided by x(squared) + x - 6 5. 2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 1. How do you work 3 + 1/x divided by 2 - 2/x 2. x + y divided by 1/x + 1/y 3. 4 + 11/2x divided by 3 - 11/2x 4. 2x(squared) + x - 15 divided by x(squared) + x - 6 5. 2      Log On


   



Question 414981: 1. How do you work 3 + 1/x divided by 2 - 2/x
2. x + y divided by 1/x + 1/y
3. 4 + 11/2x divided by 3 - 11/2x
4. 2x(squared) + x - 15 divided by x(squared) + x - 6
5. 2x(squared) + 4x + 2 divided by (x+1)(squared)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1. How do you work 3 + 1/x divided by 2 - 2/x
-----
(3x+1)/x divided by (2x-2)/x
----
Invert and multiply to get:
(3x+1)/x * x/(2x-2)
----
= (3x+1)/(2x-2)
================================================

2. x + y divided by 1/x + 1/y
(x+y) divided by (x+y)/xy
---
Invert and multiply to get:
(x+y) * xy/(x+y)
---
= xy
===================
3. 4 + 11/2x divided by 3 - 11/2x
(8x+11)/2x divided by (6x-11)/2s
Invert and multiply to get:
(8x+11)/2x * 2x/(6x-11)
---
= (8x+11)/(6x-11)
=====================

4. 2x(squared) + x - 15 divided by x(squared) + x - 6
---
[2x^2+x-15]/[x^2+x-6]
----
= [(2x-5)(x+3) ]/[(x+3)(x-2)]
---
= (2x-5)/(x-2)
=======================
5. 2x(squared) + 4x + 2 divided by (x+1)(squared)
=====================
Cheers,
Stan H.
=====================