# I need help from you smart people

G

#### Guest

##### Guest
HI again......

I got this one almost to the end, but I am stuck!!!!!!! HELP! :roll:

1 2 x
___ + _________ + _______
x+4 x^2 +2x-8 x-2

1 2 x
___+___________ + ______
x+4 (x-2)(x+4) x-2

1(x-2) 2(x+4) x
________ + __________ +________
x+4(x-2) (x-2)(x+4) (x-2)(x+4)

1(x-2) +2(x+4)+x
_______________
(x-2) (x+4)

Where do I go from here.....my book says the answer is
x(x+5)
______
(x-2)(x+4)

Thanks bunches.

#### tkhunny

##### Moderator
Staff member
Why did you alter the middle one with (x+4)/(x+4)? Try it with the third term, instead.

#### soroban

##### Elite Member
Hello, afreemanny!

I thought you'd figure it out by now.
The system doesn't retain extra spaces.
You can try to type "AB . . CD", but it won't work.
You can try "code" if you dare . . . it still takes a lot of work.

Code:
               1             2           x
-----  +  ------------  + -----
x + 4     x^2 + 2x - 8    x - 2

1             2             x
-----  +  --------------  + -----
x + 4     (x - 2)(x + 4)    x - 2

1(x - 2)              2              x(x + 4)
--------------  +  --------------  +  --------------
(x + 4)(x - 2)     (x - 2)(x + 4)     (x - 2)(x + 4)

1(x - 2) + 2 + x(x + 4)
-----------------------
(x - 2) (x + 4)

x - 2 + 2 + x^2 + 4x
---------------------
(x - 2)(x + 4)

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

x(x + 5)
--------------
(x - 2)(x + 4)

G

#### Guest

##### Guest
I will try it.

I'll be sure to try the "code" button next time. I am so awful at math and stuff. Give me English and I can go rounds with ya, but not math.....

#### Denis

##### Senior Member
Re: I will try it.

afreemanny said:
I'll be sure to try the "code" button next time. I am so awful at math and stuff. Give me English and I can go rounds with ya, but not math.....
Gee Haw Ma, not awful: just out of practice.

OK: what's the longest English word?

G

#### Guest

##### Guest
?????

So why aren't you a "figment of our imaginations?"

Lets see....the longest English word????

To the last of my knowledge:
Pneumonoultramicroscopicsilicovolcanoconiosis:
This is a lung disease.

What do you think???????? :?:

#### tkhunny

##### Moderator
Staff member
That's a good try, but there are WAY longer. Don't even try to find them. It will take up far too much space in the math forum.

#### Denis

##### Senior Member
GOTCHA both!
Longest word is sMILEs ; get it?

G

#### Guest

##### Guest
Great job!

I really needed that SMILE! Thanks a bunch!
I am sure there are lots of different answers!

#### Denis

##### Senior Member
sMILEs : there's a mile between the 1st and last letter;
that's why it's longest word!

#### tkhunny

##### Moderator
Staff member
skilometers

Hmpf. Doesn't work in metric.