Rational expressions and equations

latresa31s

Junior Member
Joined
Sep 4, 2005
Messages
135
Here's a problem I am working on and could use some help.

15^2 + 16x + 4
4 - 25x^2

= ( 15 + 4)(4 +x)
4 - 25x

so I stop cause it didn't look right.
 

ting

Junior Member
Joined
Sep 18, 2005
Messages
87
I think you have.

15x^2 + 16x + 4
______________
4 - 25x^2


Factor the numerator and the denominator. The denominator is the difference of two squares.


(5x + 2)(3x + 2)
______________
(2 - 5x)(2 + 5x)


Simplify


3x + 2
_____
2 - 5x
 

latresa31s

Junior Member
Joined
Sep 4, 2005
Messages
135
Thank you so much
 

latresa31s

Junior Member
Joined
Sep 4, 2005
Messages
135
is this one right

x^2 – 8x + 15
x^3 – 5x^2 + 6x


=(x-3)(x-5)
x(x^2+2)(x-3)
x+5
x(x^2+3)
 

Gene

Senior Member
Joined
Oct 8, 2003
Messages
1,904
Your factoring is awry.
<u>x^2 – 8x + 15</u>
x^3 – 5x^2 + 6x

<u>(x-3)(x-5)</u>
x(x-2)(x-3)

<u>x-5</u>
x(x-2)
 
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