(Section 0.9: Simplifying Algebraic Expressions) 0.9.11 Errors involving FractionsError (crossed out) Related Correct Formulas Comments x2xx+4()=x1x+4x±0=xx+4x±0We can cancel (nonzero, equivalent) factors of the entirenumerator and the entire denominator. a1+b1=a+b1.1a+1b=1a±bb+1b±aa=b+aab, or a+bab.If we add likefractions, we add the numeratorsand keep the common denominator. If we add unlikefractions, we do not add the denominators.ad±b+cd=a±b+cdA fraction groupstogether its numerator(and groupstogether its denominator). 1x+1x2=x±1+x±2Reciprocals cannot be taken term-by-term. 17x±4/3=17xx²0The negative exponent only applies to x. FOOTNOTES
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