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: . Why must the engineer avoid canceling the common factor of (2a - b) before adding the numerators of the two expressions?
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Ch.8 Rational Expressions and Equations - Elementary Algebra @ OpenStax
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When adding rational expressions, simplify only after combining the _____.
Order the steps for adding rational expressions without simplifying too soon.
Match each step for adding rational expressions with its rule.
When should you simplify while adding rational expressions?
After finding a common denominator, cancel common factors before adding the numerators.
When adding rational expressions, what happens if you cancel a common factor before combining the numerators?
When adding rational expressions, simplify each fraction after finding a common denominator but before adding the numerators.