Find the following sum: (Problem in comments...)
\[\frac{ 18 }{ x^2-1 }+\frac{ 9 }{ x+1 }\]
x\(^2\) - 1 = (x+1)(x-1) <--this is your common denominator do you know the rest?
I'm not quite sure yet. What's the next step?
\[\huge \frac{18}{(x+1)(x-1)} + \frac 9{x+1}\] since x+1 is present in the 18 fraction, it stays the same. the 9 fraction doesnt have x-1 so multiply it \[\huge \frac{18 + 9(x-1)}{(x+1)(x-1)}\] the rest is algebra
\[\frac{ 18+9x-9 }{ (x+1)(x-1) } ?\] Is that what I'm suppose to do?
@ganeshie8 , help :( I just cant understand math.
@Hero , Can you help me, please?
\[\frac{18 - 9 + 9x}{(x + 1)(x - 1)} = \dfrac{9x + 9}{(x + 1)(x - 1)} \] \(\\= \dfrac{9(x + 1)}{(x + 1)(x - 1)} \\= \dfrac{9}{x - 1}\)
ooooh, ok ! Thank you so much !
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