The rational expression that satisfies x = y +-2 is 2xy/(x + y)(x² - 4).
How to illustrate the expression?
It should be noted that non permissible value is the value of the variable which make the denominator of the rational expression equal to zero.
Based on the information, x + y gives x - y = 0.
x = 2 gives x - 2 = 0
x = -2 gives x + 2 = 0
Ths denominator according to the condition illustrated will be (x - y)(x - 2)(x + 2) = (x - y)(x² - 4)
Then, the rational expression can be written by taking the numerator and denominator. An example will be 2xy/(x + y)(x² - 4).
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