TiMartin's Math Corner

Factor and Simplify

 

I was just doing that about an hour ago. Just not solving for x =/

 

You don't solve for x, just say what x cannot equal.

 

Well if you solve for x. Anything besides that answer would not equal x, right?

 

No, the right denominator would not equal -5 because it is opposite of 5. If x = -5 then the denominator would = 0. If you know what I mean.

 

x can't be 1/3 and -5

 

oh nvm it has a times in it

 

I believe you are right. The times turns into a plus.

 

its just x can't be -5

 

I can get that answer. Ill post the worked solution later.

 

Ok, so you start with:
(3^rt(15x))/(3^rt(12y))
but this can be written as
((15x)^1/3)/((12y)^1/3)
so you multiply this by, to remove the 3^rt from the base
((12y)^2/3)/((12y)^2/3)
so you get
(((15x)^1/3)((12y)^2/3))/12y
on the top line take 3 out the front
((3^1/3)(3^2/3)((5x)^1/3)((4y)^2/3))/12y
(3^1/3)(3^2/3) = 3
cancel the 3 from the 12y
((5x)^1/3)((4y)^2/3))/4y
this equals
(3^rt(5x*16*y^2))/4y
16 is 8*2 the 3^rt 8 is 2 so you can take 2 out the front then cancel from the 4y so you end up with
(3^rt(10xy^2))/2y
which is what you had.

 

Honestly none of that makes sense

 

And yours spruce is nice and easy.
2x+4 . 12x-12
3x-3 x+5

2(x+2) . 12(x-1)
3(x-1) x+5

8
24(x+2)
3(x+5)

8(x+2)
x+5

therefore x =/ -5

 

I write it up then take a picture

 

okay because the format its typed is just hard to follow.

 

Bravo

 

lol that one is stupid easy

 

Here it is, if you still cant follow ill write in some explainations.

 

.

 

http://web2.0calc.com/questions/algebra_4594