I need help with these, step by step solution PLEASE HELP
3-2/y
1/y+4
2x- x 2 - x
2-x
x-1 - x+1
x+1 x-1
x-1 + x+1
x+1 x-1
Hello, flor!
I can guess what the last one says.
The others need parentheses and careful typing.
$\displaystyle \displaystyle \frac{\;\dfrac{x-1}{x+1} - \dfrac{x+1}{x-1}\;}{\dfrac{x-1}{x+1} + \dfrac{x+1}{x-1}} $
Multiply top and bottom by $\displaystyle (x-1)(x+1)$
. . $\displaystyle \dfrac{(x-1)(x+1)\left(\dfrac{x-1}{x+1} - \dfrac{x+1}{x-1}\right)}{(x-1)(x+1)\left(\dfrac{x-1}{x+1} + \dfrac{x+1}{x-1}\right)} \;=\;\dfrac{(x-1)^2 - (x+1)^2}{(x-1)^2 + (x+1)^2} $
. . $\displaystyle =\;\frac{(x^2-2x+1) - (x^2 + 2x + 1)}{(x^2-2x+1) + (x^2 + 2x + 1)} \;=\;\frac{\text{-}4x}{2x^2+2} \;=\;\frac{\text{-}2x}{x^2+1} $