# How do you simplify and find the excluded value of #(x^2+x+1)/(1-x^2)#?

see explanation.

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To simplify the expression (x^2+x+1)/(1-x^2), we can factor the numerator and denominator. The numerator cannot be factored further, but the denominator can be factored as (1-x)(1+x).

Next, we can cancel out common factors between the numerator and denominator. In this case, there are no common factors to cancel out.

Therefore, the simplified expression is (x^2+x+1)/(1-x)(1+x).

To find the excluded values, we need to identify the values of x that would make the denominator equal to zero. In this case, the excluded values are x = -1 and x = 1, since they would make the denominator (1-x)(1+x) equal to zero.

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