SOLUTION: Simplify the expression x-2 x+5 -----

SOLUTION: Simplify the expression x-2 x+5 ----- - ----- x^2-9 x+4

Question 39242: Simplify the expression
x-2 x+5
----- - -----
x^2-9 x+4
Answer by junior403(76) (Show Source): You can put this solution on YOUR website!
So we want to simplify...

First, when adding or subtracting fractions we need to find the lowest common denominator (LCD).
To make it simple we can just combine the two existing deniminators, like so...
(x^2-9)(x+4)
This is you LCD.
We can now multiply each expression by the LCD...
So now the equation looks like this...

Now we can cancel the like terms in each expression to eliminate the denominator and the fraction...
In the first expression the (x^2-9) cancels out
and in the second expression the (x+4) cancels out.
So now we have...

Now we can multiply both expression out using FOIL method...

Now we simply combine like terms...remember to distribute the - symbol...

And put it in standard form...

This is simplified in the lowest terms.
I hope this helps...
Good Luck!
RELATED QUESTIONS
inequality: 8 - x _> 6x + 29 expression: Simplify the expression 3(x-2)-9(x^2+7x... (answered by tracyc0912)

Simplify the rational expression... (answered by sarah_adam,longjonsilver)

I need help simplify the expression 3(x-2)-... (answered by Maths68)

Simplify the expression. (2/x^2) /... (answered by Tatiana_Stebko)

Simplify the expression: 4/(x+2) - 3/(x+2) (answered by jim_thompson5910)

Simplify the rational expression. {{{(x^2-4)/(2+x)}}}... (answered by nerdybill)

simplify the expression: 4/(x+2) -... (answered by jim_thompson5910,addingup,josmiceli)

Simplify the expression. (x − 4)(2x − 5) − (x + 2)(x −... (answered by unlockmath)

Simplify the following expression.... (answered by jim_thompson5910)