Subject: Mathematics
Book: Maths Mastery
To reduce or simplify algebraic fractions, factor both numerator and denominator completely, then cancel common factors, ensuring they are non-zero in the original domain. For example, (x²–1)/(x²–x–2) factors to (x–1)(x+1)/(x–2)(x+1). Cancel (x+1) for x≠–1, leaving (x–1)/(x–2). This process is identical to fraction simplification but extended to polynomials. Mastery enables you to handle advanced rational expressions in calculus integrals, partial fractions, and engineering equations that combine polynomial-based denominators and numerators for streamlined analysis.
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