SOLUTION: Factor x squared minus 9 over 3x minus 9.

Algebra.Com
Question 16512: Factor x squared minus 9 over 3x minus 9.
Found 2 solutions by elima, smik:
Answer by elima(1433)   (Show Source): You can put this solution on YOUR website!
Factor x squared minus 9 over 3x minus 9


Cancel out the (x-3);

Hope you understand
=)

Answer by smik(40)   (Show Source): You can put this solution on YOUR website!
Good question. When anything asks you to factor, it's asking you to reduce the expression given to it's simplest product form. Here we have:


[(x^2)-9]/[3x-9]


[(x^2)-9] is special, because the square root of 9 is an integer, and there's a subtraction sign infront of it. This therefore gives us: (x-3)(x+3).


[3x-9] on the other hand is easier. Basically all we can factor out of that is a 3, as both 3x and (-9) are divisible by 3. This therefore gives us: 3(x-3).


Hence, we get the "Factor of x squared minus 9 over 3x minus 9" to be:


[(x-3)(x+3)]/[3(x-3)]


we can go a step further and simplify the expression, by eliminating (x-3), which would leave us with:


(x+3)/3

RELATED QUESTIONS

Factor by grouping. 4 x squared plus 9 x y minus 8 x minus 18... (answered by ikleyn,greenestamps)
9x squared minus 16 over 20x squared minus 24x divided by 3x squared minus 5x minus 12... (answered by Cintchr)
(3x-7) over (x^2-9) minus (x-1)over... (answered by mananth)
X squared minus 3x minus 17=... (answered by Fombitz)
Perform the indicated operation. 1) x squared OVER x-3 MINUS 9 OVER x-3 2) x... (answered by MathLover1)
How do i factor 4x squared minus... (answered by checkley77)
x over x-7 subtracted from 9 over x squared minus 49 x/x-7 - 9/x^2-49 (answered by Fombitz)
What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus... (answered by Alan3354)
how to solve 3x squared minus 5x plus 1 added to 8x squared minus 2x minus... (answered by lynnlo)