Subject: Mathematics
Book: Maths Mastery
Rational expressions are fractions with polynomials in numerator and denominator, like (x² – 9)/(x² – x – 6). Simplify by factoring both numerator and denominator, then canceling common factors. In this example, x² – 9 factors to (x – 3)(x + 3), and x² – x – 6 factors to (x – 3)(x + 2), simplifying to (x + 3)/(x + 2) if x ≠ 3. Rational expression simplification appears in advanced algebra, calculus, and real-life modeling of rates or proportions. Mastery of factoring and cautious domain considerations ensures robust, accurate algebraic manipulation.
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