Short Answer

Maintaining Procedural Integrity in Structural Calculations

An engineer is calculating the total load-bearing capacity of a support beam by adding two rational expressions. After successfully rewriting the expressions to have a common denominator, one of the terms appears as: 2a(2ab)b(2a+b)(2ab)\frac{2a(2a - b)}{b(2a + b)(2a - b)}. Why must the engineer avoid canceling the common factor of (2a - b) before adding the numerators of the two expressions?

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Updated 2026-04-17

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