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Mathematics 18 Online
OpenStudy (anonymous):

Probably a easy question...

OpenStudy (anonymous):

How do I make this expression: \[e ^{\frac{ x }{ x+1 }}\] look like this: \[e ^{1-\frac{ 1 }{ x+1 }}\] algebraically

OpenStudy (anonymous):

@ganeshie8 solve this for me!

ganeshie8 (ganeshie8):

have you tried long division ?

ganeshie8 (ganeshie8):

you could also rearrange the numberator like this : \[\dfrac{x}{x+1} = \dfrac{(x+1)-1}{x+1} \]

OpenStudy (anonymous):

@ganeshie8 so what is it actually we are doing? is it just add and subtract 1?

ganeshie8 (ganeshie8):

Exactly !

ganeshie8 (ganeshie8):

next, split up the fractions

ganeshie8 (ganeshie8):

\[\dfrac{x}{x+1} = \dfrac{(x+1)-1}{x+1} = \dfrac{x+1}{x+1} - \dfrac{1}{x+1} \]

OpenStudy (anonymous):

thanks @ganeshie8

ganeshie8 (ganeshie8):

yw!

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