SOLUTION: I dont understand how to get this answer for my precal homework the answer is (6x(raised to the 2nd) -39x=52)/(x-9)(x+2) for the equation if f(x)= ((x+8)/(x-9))+((5x-4)/(x+2))
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-> SOLUTION: I dont understand how to get this answer for my precal homework the answer is (6x(raised to the 2nd) -39x=52)/(x-9)(x+2) for the equation if f(x)= ((x+8)/(x-9))+((5x-4)/(x+2))
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Question 482500: I dont understand how to get this answer for my precal homework the answer is (6x(raised to the 2nd) -39x=52)/(x-9)(x+2) for the equation if f(x)= ((x+8)/(x-9))+((5x-4)/(x+2)) Answer by LagrangeSon678(5) (Show Source):
You can put this solution on YOUR website! obviously we need to add these fractions that have unlike denominators, so what we need to do is find the LCD
f(x)= ((x+8)/(x-9))+((5x-4)/(x+2))
Now, what would be our common denominator?
It would be (x-9)(x+2)
Now we multiply the top and bottom of the first fraction by (x+2)
Then the top and bottom of the second fraction is multiplied by (x-9)
this gives us:
(x+2)(x+8) (x-9)(5x-4)
---------- + -------------
(x-9)(x+2) (x-9)(x+2)
Now we combine the fractions and get
(x+2)(x+8)+(x-9)(5x-4)
----------------------------
(x-9)(x+2)
Now lets expand the numerator of this fraction. We can use Foil for this.
(x^2+10x+16)+(5x^2-49x+36)
-----------------------------
(x-9)(x+2)
Our last step is to combine like terms in the numerator.
