import{E as p,bE as k,aj as d,r as f,h as u,m as C,a as v,s as h,l as g}from"./index-ajJ0B2-K.js";const E=!0,Q="mathLive",L="Simplify writing a literal expression",T="07/04/2022",D="13/11/2023",F="e2e64",I="5L16";function N(){p.call(this),this.nbQuestions=10,this.besoinFormulaireNumerique=["Type of simplification",3,`1: × in front of a letter or a parenthesis
2: Square and cube
3: Mixture`],this.sup=3,this.besoinFormulaire2CaseACocher=["Reverse procedure"],this.sup2=!1,this.nbCols=2,this.nbColsCorr=2,this.nouvelleVersion=function(){this.listeQuestions=[],this.listeCorrections=[],this.autoCorrection=[],this.sup2?this.consigne="We have simplified literal writings.<br>Rewrite each expression by writing the × symbols which are implied.":this.consigne="Simplify writing.";let o;switch(k(1,3,parseInt(this.sup),3)){case 1:o=["ax","ax+b","b+ax","a+x","x+a","a(x+b)","a(b+x)","a(bx+c)","a(b+cx)"];break;case 2:o=["x²","x³","a+x²","x²+a","a+x³","x³+a"];break;default:o=["ax","ax+b","b+ax","a+x","x+a","a(x+b)","a(b+x)","a(bx+c)","a(b+cx)","x²","x³","a+x²","x²+a","a+x³","x³+a","ax²","ax³","ax²+b","ax³+b","b+ax²","b+ax³","abx²","abx³"];break}const l=d(o,this.nbQuestions);for(let m=0,n,s,t,$,c,b=0;m<this.nbQuestions&&b<50;){const e=f(2,9),i=f(2,9,[e]),r=f(2,9,[e,i]);let x=u([!0,!1]),a=u([!0,!1]);switch(this.sup2&&(x=!1,a=!1),l[m]){case"ax":x?s=`x \\times ${e}`:s=`${e} \\times x`,t=`${e}x`;break;case"ax+b":x?s=`x \\times ${e} + ${i}`:s=`${e} \\times x + ${i}`,t=`${e}x+${i}`;break;case"b+ax":x?s=`${i} + x \\times ${e}`:s=`${i} + ${e} \\times x`,t=`${i}+${e}x`;break;case"a+x":s=`${e} + x`,t=`${e}+x`;break;case"x+a":s=`x + ${e}`,t=`x+${e}`;break;case"a(x+b)":a?s=`(x + ${i}) \\times ${e}`:s=`${e} \\times (x + ${i})`,t=`${e}(x+${i})`;break;case"a(b+x)":a?s=`(${i} + x) \\times ${e}`:s=`${e} \\times (${i} + x)`,t=`${e}(${i}+x)`;break;case"a(bx+c)":a?x?s=`(x \\times ${i} + ${r}) \\times ${e}`:s=`(${i} \\times x + ${r}) \\times ${e}`:x?s=`${e} \\times (x \\times ${i} + ${r})`:s=`${e} \\times (${i} \\times x + ${r})`,t=`${e}(${i}x+${r})`;break;case"a(b+cx)":a?x?s=`(${i} + x \\times ${r}) \\times ${e}`:s=`(${i} + ${r} \\times x) \\times ${e}`:x?s=`${e} \\times (${i} + x \\times ${r})`:s=`${e} \\times (${i} + ${r} \\times x)`,t=`${e}(${i}+${r}x)`;break;case"x²":s="x \\times x",t="x^2";break;case"x³":s="x \\times x \\times x",t="x^3";break;case"a+x²":s=`${e} + x \\times x`,t=`${e}+x^2`;break;case"x²+a":s=`x \\times x + ${e}`,t=`x^2+${e}`;break;case"a+x³":s=`${e} + x \\times x \\times x`,t=`${e}+x^3`;break;case"x³+a":s=`x \\times x \\times x + ${e}`,t=`x^3+${e}`;break;case"ax²":a?x?s=`x \\times ${e} \\times x`:s=`${e} \\times x \\times x`:x?s=`x \\times x \\times ${e}`:s=`${e} \\times x \\times x`,t=`${e}x^2`;break;case"ax²+b":a?x?s=`x \\times ${e} \\times x + ${i}`:s=`${e} \\times x \\times x + ${i}`:x?s=`x \\times x \\times ${e} + ${i}`:s=`${e} \\times x \\times x + ${i}`,t=`${e}x^2+${i}`;break;case"b+ax²":a?x?s=`${i} + x \\times ${e} \\times x`:s=`${i} + ${e} \\times x \\times x`:x?s=`${i} + x \\times x \\times ${e}`:s=`${i} + ${e} \\times x \\times x`,t=`${i}+${e}x^2`;break;case"abx²":a?x?s=`x \\times ${e} \\times x \\times ${i}`:s=`${e} \\times x \\times x \\times ${i}`:x?s=`x \\times x \\times ${e} \\times ${i}`:s=`${e} \\times x \\times x \\times ${i}`,t=`${e*i}x^2`;break;case"ax³":a?x?s=`x \\times x \\times ${e} \\times x`:s=`x \\times ${e} \\times x \\times x`:x?s=`x \\times x \\times x \\times ${e}`:s=`${e} \\times x \\times x \\times x`,t=`${e}x^3`;break;case"ax³+b":a?x?s=`x \\times x \\times ${e} \\times x + ${i}`:s=`x \\times ${e} \\times x \\times x + ${i}`:x?s=`x \\times x \\times x \\times ${e} + ${i}`:s=`${e} \\times x \\times x \\times x + ${i}`,t=`${e}x^3+${i}`;break;case"b+ax³":a?x?s=`${i} + x \\times x \\times ${e} \\times x`:s=`${i} + x \\times ${e} \\times x \\times x`:x?s=`${i} + x \\times x \\times x \\times ${e}`:s=`${i} + ${e} \\times x \\times x \\times x`,t=`${i}+${e}x^3`;break;case"abx³":a?x?s=`${i} \\times x \\times x \\times ${e} \\times x`:s=`${i} \\times x \\times ${e} \\times x \\times x`:x?s=`${i} \\times x \\times x \\times x \\times ${e}`:s=`${i} \\times ${e} \\times x \\times x \\times x`,t=`${e*i}x^3`;break}this.sup2?(n=`$${t}$`,$=y(s),c=`$${t} =`):(n=`$${s}$`,$=t,c=`$${s} =`),c+=`${C($)}$`,$=$.replace(/\s/g,""),$=$.replace(/\\timesx/g,"\\times x"),this.interactif&&(n+=v(this,m,"width01 inline nospacebefore",{texteAvant:" $=$"})),this.sup2?h(this,m,$,{formatInteractif:"text"}):h(this,m,$,{formatInteractif:"formDevelopedByEE"}),this.questionJamaisPosee(m,n)&&(this.listeQuestions.push(n),this.listeCorrections.push(c),m++),b++}g(this)}}function y(o){const l=o.split(" \\times"),m=[],n=[];for(const t of l)isNaN(t)?n.push(t):m.push(t);const s=[];if(m.length>0){const t=m.reduce(($,c)=>$*c,1);s.push(t)}return s.push(...n),s.join("\\times")}export{D as dateDeModifImportante,T as dateDePublication,N as default,E as interactifReady,Q as interactifType,I as ref,L as titre,F as uuid};
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