[{"data":1,"prerenderedAt":120},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Falgebra\u002Fbinomio-de-newton?{}":3,"topics-with-content:algebra":96},{"course":4,"topic":12,"counts":17,"universities":21,"channels":26,"sampleQuestions":53,"sameName":95},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},2,"algebra","Álgebra","Álg.","math","i-lucide-variable",1,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},206,"binomio-de-newton","Binomio de Newton",5,{"topicId":13,"courseId":5,"questions":5,"classes":18,"videos":19,"minutes":20},56,47,1078,[22],{"universityId":11,"questions":5,"years":23},[24,25],2026,2025,[27,30,33,35,37,39,42,45,47,49,51],{"name":28,"classes":29},"Alberto Cruz",16,{"name":31,"classes":32},"Academia Internet",7,{"name":34,"classes":32},"Academia ipluton",{"name":36,"classes":32},"CEPRE UNMSM",{"name":38,"classes":32},"META VILLARREAL",{"name":40,"classes":41},"Ciclo Uni-San Marcos",4,{"name":43,"classes":44},"Trilce Multimedia",3,{"name":46,"classes":5},"Salón Sapiens",{"name":48,"classes":11},"Academia Grupo Ciencias",{"name":50,"classes":11},"Pamer Corporación Educativa",{"name":52,"classes":11},"Saco Oliveros",[54,79],{"id":55,"courseId":5,"topicId":13,"pastExamId":56,"stem":57,"options":58,"correctKey":66,"explanation":74,"difficulty":44,"status":75,"source":76,"stats":77},5593,256,"En un laboratorio, cada hora se monitorea la temperatura de un cultivo de bacterias mediante la función $T(t)=t^{2}-2nt+50;\\ 0\\leq t\\leq 10$. Determine, en grados centígrados, la temperatura mínima alcanzada por dicho cultivo, si $n$ es el exponente de $\\left(x^{6}+y^{-3}\\right)^{n}$, cuyo quinto término tiene parte literal $x^{12}y^{-12}$.",[59,62,65,68,71],{"key":60,"text":61},"A","40",{"key":63,"text":64},"B","30",{"key":66,"text":67},"C","14",{"key":69,"text":70},"D","16",{"key":72,"text":73},"E","18","","published","UNMSM 2026-I · Área B · Ciencias Básicas",{"attempts":78,"accuracy":78},0,{"id":80,"courseId":5,"topicId":13,"pastExamId":81,"stem":82,"options":83,"correctKey":66,"explanation":74,"difficulty":44,"status":75,"source":93,"stats":94},4272,236,"La cantidad de libros que tiene Antonio es (m+n), donde m y n son números enteros positivos; además, el quinto término del binomio (x$^{m}$+y$^{n}$)$^{8}$ es 70x$^{12}$y$^{16}$. Si la cantidad de libros que tiene Carlos es el triple de la que tiene Antonio, ¿cuántos libros tiene Carlos?",[84,86,88,90,92],{"key":60,"text":85},"12",{"key":63,"text":87},"75",{"key":66,"text":89},"21",{"key":69,"text":91},"15",{"key":72,"text":73},"UNMSM 2025-II · Medicina Humana",{"attempts":78,"accuracy":78},[],[97,98,99,100,101,13,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119],201,202,203,204,205,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,223,225,226,1791501525287]