Subject: Mathematics
Book: Maths Mastery
Multiplying rational expressions involves factoring numerators and denominators, then canceling common factors before multiplying across. Dividing is done by multiplying by the reciprocal of the divisor. For example, (x + 1)/(x – 2) ÷ (x² – 4)/(x + 1) becomes (x + 1)/(x – 2) × (x + 1)/(x² – 4). With x² – 4 factoring to (x – 2)(x + 2), you might simplify significantly. These operations underlie advanced algebraic manipulations, from partial fraction decomposition to real-world rate adjustments. Consistent practice fosters ease with fractional polynomials, bridging the gap to calculus and mathematical modeling.
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