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hw5 - HOMENORH 5 1$61k Pg\34 NOT Assocm’NE Qcoun’ccr...

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Unformatted text preview: HOMENORH 5 1$61k: , Pg \34 NOT Assocm’NE * Qcoun’ccr Exampb: (2mm = \a*4=m54 m ua\ 3*(3#+)= 9H8: 4—9 §._fl_. wMMuTaTIVE Le\' min/ml. Then n*m=(o+nm=k>+mn=m1m, :‘tac , Pg \34r Q EMDT ASSOQaTNE QCbm’rcr EXZMQC '- (LM 33M =— 25(ng = amsu Em} gm . 2*(3*,4)=;%\44=3QO‘44 QCoMMuTaTwE QProosc‘: Q. L3 Mmel. Then mm = “am1 e m‘n‘=m mam *3 P3 (\34 (a) Supposg \l\\2 3, Le\' 0L and b. be ‘Mo disfifidr demeflk 09A. La fig be aemems 0% F09 53:. Hakka Hmca, 30:.) = a ,oxxd qu)’-‘0~u Then . (-Fng) = Rgco.» = Rog-4:. and (awn): 36%» = Cb)=o.. , Thus $9) #65? and So compos'fiion on FOR) \5 (3T , , . , mmmmfi-ofive. Cb) Suppose. \A\=\,w3 A= gag". Then HAS hos 0mg , one demem', mommy he '\de:n’r‘\-\\5 mowing Lg. ‘ Wrefixe _, F00 mus’r be mmmukoéme. i f m Pg BS * ....... guppost a has (mo-War inverse b. Toe“ 0C#bf=b*u.=e. . EMsing ~“he *‘ad Ame: * is o5$oc\oiéN€, we co.“ Nfike b= bte= ban Cod's «‘3 =Lb1‘omkol‘ =ne4kor‘ 7-: d‘. -\ “nus b== 05’, So a. \8 unique. *HD Pg \36' ECO.) Le-\r 0.,b eEfken cv=2x and b-—=?_y fix some NYe-L. ' The“ 0.5 = (2x) (2y) <= Z(2xy‘)é E. '“nereSbre E \S dosed _ under mumpjiccxfion. , , i y 7 2 ECb) Le\ a‘beo. Then oc-’2.x+\ and b=27+\ Car some ? x,y£l. Then «‘0: (2.x+\)(7.y+\) = 4xy +2x+2y +\ I = 2(2xy+x+y)+\ 6:0. There’E‘o‘re O is dosed urder mM-Rflimfion . ...
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