Question

How would you set this up? Express the following in its simplest form.

Answer 1

`x-1`

Explanation:

`"to eliminate fractions multiply numerator/denominator "`
`"by x"`

`rArr(x-1/x)/(1+1/x)xx x/x`

`=(x^2-1)/(x+1)`

`"factorise numerator and cancel common factors"`

`x^2-1" is a "color(blue)"difference of squares"`

`rArrx^2-1=(x-1)(x+1)`

`rArr(x^2-1)/(x+1)`

`=((x-1)cancel((x+1)))/cancel((x+1))`

`=x-1larr" in the form "Ax+B`

`"with "A=1" and "B=-1`