Is it true or false that `(x^2+1)/(x+1) = x`
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It is not true that `(x^2+1)/(x+1) = x` for all values of x.
If `(x^2+1)/(x+1) = x`
=> `x^2 + 1 = x^2 + x`
=> `x = 1`
Only for x = 1, `(x^2+1)/(x+1) = x` . This is not the case for a general value of x.
the (x+1) in the denominator and numerator cancel out, so you are left with x-1 which is the answer.
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