Precalc0006to0010-page29

Precalc0006to0010-page29 - (Section 0.9: Simplifying...

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(Section 0.9: Simplifying Algebraic Expressions) 0.9.11 Errors involving Fractions Error (crossed out) Related Correct Formulas Comments x 2 xx + 4 () = x 1 x + 4 x ± 0 = x x + 4 x ± 0 We can cancel (nonzero, equivalent) factors of the entire numerator and the entire denominator. a 1 + b 1 = a + b 1 . 1 a + 1 b = 1 a ± b b + 1 b ± a a = b + a ab , or a + b ab . If we add like fractions, we add the numerators and keep the common denominator. If we add unlike fractions, we do not add the denominators . a d ± b + c d = a ± b + c d A fraction groups together its numerator (and groups together its denominator ). 1 x + 1 x 2 = x ± 1 + x ± 2 Reciprocals cannot be taken term-by-term. 1 7 x ± 4/3 = 1 7 x x ² 0 The negative exponent only applies to x . FOOTNOTES
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