import{E as Q,c as m,aj as D,r as b,h as v,i as C,al as n,s as f,d as h,cF as p,bK as I,aQ as k}from"./index-hc8lvKav.js";const T="Factoriser a²-b²",B=!0,L="mathLive",N="26/02/2023",q="81fd2",A="3L12";function E(){Q.call(this),this.titre=T,this.correctionDetailleeDisponible=!1,m.isHtml?this.spacingCorr=3:this.spacingCorr=2,m.isHtml||(this.correctionDetaillee=!1),this.nbCols=1,this.nbColsCorr=1,this.spacing=1,this.spacingCorr=1,this.nbQuestions=4,this.sup=4,this.sup2=!0,this.tailleDiaporama=3,this.listeAvecNumerotation=!1,this.nouvelleVersion=function(){this.consigne=this.nbQuestions>1?"Factoriser les expressions suivantes.":"Factoriser l'expression suivante.",this.sup=parseInt(this.sup),this.listeQuestions=[],this.listeCorrections=[];const g=[[1,2],[1,3],[2,3],[1,4],[3,4],[1,5],[2,5],[3,5],[4,5],[1,6],[5,6],[1,7],[2,7],[3,7],[4,7],[5,7],[6,7],[1,8],[3,8],[5,8],[7,8],[1,9],[2,9],[3,10],[7,10],[9,10],[4,9],[5,9],[7,9],[8,9],[1,10]];let a=[];this.sup===1?a=[1]:this.sup===2?a=[2]:this.sup===3?a=[3]:a=[1,2,3];const F=D(a,this.nbQuestions);for(let e=0,c,t,x=0,s,i,l,$,u;e<this.nbQuestions&&x<50;){u=F[e],s=b(1,9),i=b(2,9);const d=v(g);switch(l=d[0],$=d[1],t="",u){case 1:c=`$${n(e+1)} = x^2-${s*s}$`,t=`$${n(e+1)} = x^2-${s*s}=x^2-${s}^2=(x-${s})(x+${s})$`,f(this,e,{reponse:{value:`(${h(1,-s)})(${h(1,s)})`,compare:p}},{formatInteractif:"fillInTheBlank"});break;case 2:c=`$${n(e+1)} = ${i*i}x^2-${s*s}$`,t=`$${n(e+1)} = ${i*i}x^2-${s*s}=(${i}x)^2-${s}^2=(${i}x-${s})(${i}x+${s})$`,f(this,e,{reponse:{value:`(${h(i,-s)})(${h(i,s)})`,compare:p}},{formatInteractif:"fillInTheBlank"});break;case 3:{const o=C(l,$).texFraction,r=C(l*l,$*$).texFraction;c=`$${n(e+1)} = ${r}x^2-${s*s}$`,t=`$${n(e+1)} = ${r}x^2-${s*s}=\\left(${o}x\\right)^2-${s}^2=\\left(${o}x-${s}\\right)\\left(${o}x+${s}\\right)$`,f(this,e,{reponse:{value:`(${o}x+${s})(${o}x-${s})`,compare:p}},{formatInteractif:"fillInTheBlank"})}break}if(this.sup2){this.spacingCorr=1,t=t.slice(4);const o=t.split("=");t="",o.forEach(function(r){r=r.replace("$",""),t+=r===n(e+1)?"":`$${n(e+1)} = ${r}$ <br>`})}this.interactif&&(c+=I(this,e,"=%{reponse}","inline","\\ldots\\ldots")),this.questionJamaisPosee(e,s,u)&&(this.listeQuestions.push(c),this.listeCorrections.push(t),e++),x++}k(this)},this.besoinFormulaireNumerique=["Niveau de difficulté",4,` 1 : Coefficient de x égal à 1
 2 : Coefficient de x supérieur à 1
 3 : Coefficient de x rationnel
 4 : Mélange des cas précédents`],this.besoinFormulaire2CaseACocher=["Présentation des corrections en colonnes",!1]}export{N as dateDeModifImportante,E as default,B as interactifReady,L as interactifType,A as ref,T as titre,q as uuid};
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