What would be the common denominator for these three demoninators

2x, 4, 2x+3

thanks so much....would it just be to multiply all three by each other?

Printable View

- Mar 19th 2007, 04:45 PMNatalieRational Expressions
What would be the common denominator for these three demoninators

2x, 4, 2x+3

thanks so much....would it just be to multiply all three by each other? - Mar 19th 2007, 04:50 PMJhevon
multiplying each other would be one way to do it, but it's a slight overkill.

4x(2x + 3) would do it, as oppsed to the 8x(2x + 3) you would get if you multiply all three. it's no big deal though, if you use 8x(2x + 3) the extra 2 would eventually cancal out, and maybe more - Mar 19th 2007, 04:58 PMNatalie
oooh great thanks so much, that helps.

so is there any faster ways in simplifying this?

4x

---------

(x+5)(x-1)

subract

5

---

4

thanks again - Mar 19th 2007, 05:09 PMJhevon

..........4x .........................5

...------------.....-..........-----

....(x+5)(x-1).....................4

...........8x...-...5(x + 5)(x - 1)

..= ..-------------------------

.............4(x + 5)(x - 1)

...........8x...-...5(x^2 + 4x - 5)

..= ..---------------------------

.............4(x + 5)(x - 1)

...........8x...-...(5x^2 + 20x - 25)

..= ..---------------------------

...............4(x + 5)(x - 1)

............-5x^2 -12x + 25

..= ..---------------------------

...............4(x + 5)(x - 1)