120_11.3_notes - MatlZO Chapter 11 — Section 3 Page:1...

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Unformatted text preview: / MatlZO Chapter 11 — Section 3 Page :1 Complex Rational Expressions Complex rational expressions, also called mmplex fractions, have numerators or denominators containing one or more rational expressions Here is another example of such an expression: Numrmr 1‘ ‘ 1 + T Sepnta miunal ~ ’ . a sinus nur Main frmtim Ill 1 if“: “mm ‘ 1 — 1 ml demirntu'. Dammirmn Simplifying a Complsx Rational Expression Step 1. Add to get a single rational expression In the numerator; .1. .2.__1_‘_§+_‘_3__5_+_§;__1_1_ 3 5‘5 5-3—15 15'15 “IIIID'IE‘SJI’E. Snap 2. Slinmct to get a We rational expression in the denominator: 2 '1 2 r 3 l - 5 I5 5 l IIIUIJiI'E. 512p: 3 and 4. Perform tin division indicated by the main fraction bar: Invert and unliply. If possible. dupkfy. 1 7- E 1 hint Ill Initial} I / MatlZO Beginning Examples: Chapter 11 - Section 3 SIWQIC Inqu- Wear/W” final-um ’ MatIZO Chapter Il-Sec‘tionB Page [3 Complex Rational Expressions ' More Complicated Examples: 3” A/mmewWV‘ “.9 l2- 1 z '1_.L.4-..2:_'i 3+3: 4 3 q ‘ " Li 33 3.; .11— 3 4 fi‘l“ ’3’ l "M LCD 1 ______.‘..a.'——— whomm“+‘P 5 49; ___l.. 2 13- 173 ‘f 3 5' I =- __ .2- : ..--’ b) mm¢r~c~fivn “-9 3‘3- .L_§. 93.1.. _.f_b__ '4 2-. -3 _.: 3:33— ! 2 A; a. '9' " 9.5 9.5 3-s- 4 4. 4% 4+3? 3—4; 5%; __ ”'3‘ avg. 4+3¢g~ 1 1 ”Mn—arbor; LCD ”'1 9 ?+' 4-2-9" =_. A... +>< 1-: X9 ”‘5 Xg +X5 "SE— 1: M y D—enommo‘w" LCD «Kr-3. 4—9-“: = Aug. _. 8—): Chapter 11 - Section 3 Mat120 Chapter 11 — Section 3 Page i 5 Complex Rational Expressions 3 light“2 —3.1c’I :- £5 "" 35 I')‘ ___ ,2): _. [91‘3X .151.“1 ~91?! X ,_ )('L X'2 .. Xa'k g) ...
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