Rational expressions are simplified by factoring, canceling common factors, finding a common denominator, and expanding brackets as needed.
The goal is an equivalent but simpler form.
Study the structure of the expression before grinding through steps
The domain of admissible values is preserved at every step
After simplifying, a quick check with a sample value can help
Simplify the rational expression.
Expression transformation
x−1x2−1
=x+1, x=1
x−1x2−1=x−1(x−1)(x+1)=x+1, x=1
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