To simplify the expression (X^2 - 1) / (X - 1), we can first factor the numerator as a difference of squares: (X^2 - 1) = (X + 1)(X - 1). Then, we can rewrite the expression as ((X + 1)(X - 1)) / (X - 1). Next, we can cancel out the common factor of (X - 1) in the numerator and denominator, leaving us with the simplified expression of X + 1.
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x3 + 1 = (x + 1)(x2 - x + 1) The x + 1's cancel out, leaving x2 - x + 1
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start by differentiating each component d/dx [x2]=2x d/dx [lnx]=1/x product rule 2xlnx+x2/x simplify (factoring) x[2ln(x)+1]
x2/(-x) = -x.
x2+x-6=x2+3x-2x-6x2+x-6=x(x+3)-2(x-3)x2+x-6=(x+3)(x-2)