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You need to know how to solve algebraic equations, and I'm here to explain it to you. Let's start with the very basics. 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Öğretmen, benzer terimlerin toplanması, dağılma özelliği ve dikdörtgenin alanını gösteren cebirsel ifade bulma gibi konuları ele almaktadır.","Video, konu anlatımı, örnekler ve soru çözümleriyle yapılandırılmış olup, sonunda izleyicilere bir soru verilerek cevaplarını yorum kısmında paylaşmaları istenmektedir."]},"endTime":808,"title":"LGS Matematik: Cebirsel İfadeler Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Cebirsel İfadelerin Tanımı ve Parçaları","list":{"type":"unordered","items":["Cebirsel ifade, sayı ve harflerin işlem sembolleri ile birleştiği ancak eşittir içermeyen matematiksel ifadelerdir.","Cebirsel ifadelerin parçaları: terim (işlemlerle ayrılan gruplar), sabit terim (bilinmeyen olmayan sayılar), değişken (bilinmeyenler), katsayı (harflerin önündeki sayılar) ve kuvvet (üstteki sayılar).","Katsayı toplamı, terimlerin katsayılarının işaretleriyle birlikte toplanmasıyla 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ifadeler çarpılırken, sayılar çarpılır ve değişkenlerin kuvvetleri toplanır (örneğin x² ile 2 çarpıldığında x³ olur)."]},"beginTime":381,"endTime":530,"href":"/video/preview/16702123786215922865?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=381&ask_summarization=1"},{"index":3,"title":"Cebirsel İfadeler Soruları","list":{"type":"unordered","items":["Bir sonraki videoda özdeşlikler konusu ele alınacak.","Konuyu pekiştirmek için iki örnek soru çözülecek ve bir sürpriz soru da olacak."]},"beginTime":534,"endTime":548,"href":"/video/preview/16702123786215922865?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=534&ask_summarization=1"},{"index":4,"title":"İlk Örnek Soru","list":{"type":"unordered","items":["Verilen cebirsel ifadede iki farklı değişken (x ve y) bulunuyor.","Katsayılar toplamı -7 olarak hesaplanıyor.","Terim sayısı 5, sabit terim ise -8 olarak belirleniyor."]},"beginTime":548,"endTime":647,"href":"/video/preview/16702123786215922865?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=548&ask_summarization=1"},{"index":5,"title":"Dikdörtgen Alanı Hesaplama","list":{"type":"unordered","items":["Dikdörtgenin alanını hesaplamak için kısa kenar ile uzun kenarın çarpımı yapılıyor.","(x-4)×(3x-3) çarpımı dağıtılarak x²-7x+12 sonucu elde ediliyor."]},"beginTime":647,"endTime":718,"href":"/video/preview/16702123786215922865?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=647&ask_summarization=1"},{"index":6,"title":"İkinci Örnek Soru","list":{"type":"unordered","items":["Verilen ifadenin katsayılar toplamı -1 olarak hesaplanıyor.","2x×(3x-4) çarpımı dağıtılarak 6x²-8x sonucu bulunuyor.","B şıkkı bir tuzak olarak belirtiliyor çünkü 8'in yanında x yazmayı unutabilirsiniz."]},"beginTime":718,"endTime":785,"href":"/video/preview/16702123786215922865?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=718&ask_summarization=1"},{"index":7,"title":"Video Kapanışı","list":{"type":"unordered","items":["İzleyicilerden ekranda gösterilen soruyu çözüp cevabını yorum kısmında paylaşmaları isteniyor.","Yeni videoları kaçırmamak için abone olunabileceği ve diğer ders videolarına ulaşılabileceği belirtiliyor."]},"beginTime":785,"endTime":806,"href":"/video/preview/16702123786215922865?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=785&ask_summarization=1"}],"linkTemplate":"/video/preview/16702123786215922865?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"LGS Mathematics Algebraic Expressions | 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access Partikül books at a discount 🔗 http://kfoni.gl/pm25 ** Discount code: pm25 -For the fastest access to all 8th grade content and our...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3422529/db5eae831d78f27faca1477e30728dfd/564x318_1"},"target":"_self","position":"15","reqid":"1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=videoid:10303926966901630269","teaser":[{"list":{"type":"unordered","items":["Bu video, Melih Hoca tarafından Partikül Matematik kanalında sunulan bir LGS matematik dersidir. Öğretmen, karanlık bir ortamda ders anlatmaktadır.","Videoda cebirsel ifadeler, özdeşlikler ve çarpanlara ayırma konuları ele alınmaktadır. İlk olarak dikdörtgenin alanı ve cebir karoları ile ilgili alan hesaplamaları yapılmakta, ardından karenin alanı, rasyonel denklemler ve çeşitli çarpanlara ayırma teknikleri (ortak çarpan parantezi, iki kare farkı, tam kare ifadeler) örnek sorular üzerinden açıklanmaktadır.","Öğretmen, öğrencilere \"Tosuncuk\" kitabından ödevler vermektedir ve öğrencilere kitaptan mavi taraftan başlamalarını, daha sonra EFSO kısmına geçmelerini tavsiye etmektedir. Ayrıca Arda'nın gofret paylaşma problemi gibi pratik örnekler de videoda yer almaktadır."]},"endTime":1048,"title":"LGS Matematik Dersi: Cebirsel İfadeler ve Özdeşlikler","beginTime":0}],"fullResult":[{"index":0,"title":"Dersin Tanıtımı","list":{"type":"unordered","items":["Melih hocanın Partikül Matematik kanalında LGS öğrencileri için cebirsel ifadeler, özdeşlikler ve çarpanlara ayırma konularında TST soruları çözülecek.","Öğrencilere \"Tosuncuk İki Taraflı Arkalı Önlü Ters Yüz\" kitabından test 35'ten 40'a kadar olan sorular ve test 41'deki 20 soruluk yeni nesil deneme ödevi veriliyor."]},"beginTime":0,"endTime":52,"href":"/video/preview/10303926966901630269?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=0&ask_summarization=1"},{"index":1,"title":"Dikdörtgenin Alanı","list":{"type":"unordered","items":["İlk soruda kenar uzunlukları verilen dikdörtgenin alanı cebirsel ifade olarak bulunuyor.","Dikdörtgenin alanı kısa kenar çarpı uzun kenar formülüyle hesaplanıyor: (x-3) × (x+4) = x² - 7x + 12."]},"beginTime":52,"endTime":126,"href":"/video/preview/10303926966901630269?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=52&ask_summarization=1"},{"index":2,"title":"Karesel Bölgenin Alanı","list":{"type":"unordered","items":["İkinci soruda cebir karoları kullanılarak oluşturulan karesel bölgenin alanı bulunuyor.","Karenin bir kenar uzunluğu a+2 olarak hesaplanıyor ve alanı (a+2)² = a² + 4a + 4 olarak bulunuyor."]},"beginTime":126,"endTime":284,"href":"/video/preview/10303926966901630269?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=126&ask_summarization=1"},{"index":3,"title":"Karmaşık Şeklin Alanı","list":{"type":"unordered","items":["Üçüncü soruda karmaşık bir şeklin alanı cebirsel ifade olarak bulunuyor.","Şekil iki dikdörtgen haline parçalanıyor: üst dikdörtgenin alanı 4x² + 12x + 9, alt dikdörtgenin alanı 6x² + 12x + 9.","Toplam alan 4x² + 12x + 9 + 6x² + 12x + 9 = 8x² + 24x + 18 olarak bulunuyor ve bu ifade (2x+3)² şeklinde tam kare ifade olarak yazılabilir."]},"beginTime":284,"endTime":484,"href":"/video/preview/10303926966901630269?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=284&ask_summarization=1"},{"index":4,"title":"Kare Alanı Problemi","list":{"type":"unordered","items":["Kare köşegenlerin kesişim noktası E noktası olduğunda, kare dört eş parçaya bölünür.","Üçgenin alanı verilmiş ve bu üçgenin alanı karenin dörtte biri olduğundan, karenin alanı üçgenin alanının dört katıdır.","Karenin alanı (2x+10)² şeklinde ifade edilir ve kenar uzunluğu 2x+10 olur."]},"beginTime":485,"endTime":609,"href":"/video/preview/10303926966901630269?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=485&ask_summarization=1"},{"index":5,"title":"Gofret Paylaşımı Problemi","list":{"type":"unordered","items":["Arda'nın elinde x+5 adet gofret var ve bunları 9 sınıf arkadaşıyla eşit olarak paylaşmak istiyor.","Üç arkadaş okula gelmediğinde, gofretler 7 kişiye paylaştırılır.","Her birine düşen payın artışı (x+5/7 - (x+5)/10) = (3x+15)/70 şeklinde cebirsel ifade ile gösterilir."]},"beginTime":609,"endTime":753,"href":"/video/preview/10303926966901630269?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=609&ask_summarization=1"},{"index":6,"title":"Çarpanlara Ayırma Problemi","list":{"type":"unordered","items":["a²+2ab+b² ifadesi (a+b)² şeklinde çarpanlara ayrılabilir.","4a²-9 ifadesi (2a+3)(2a-3) şeklinde iki kare farkı olarak çarpanlara ayrılabilir.","9x²-6x+1 ifadesi (3x-1)² şeklinde tam kare olarak çarpanlara ayrılabilir.","12x²-4x ifadesi 4x(3x-1) şeklinde ortak çarpan parantezi olarak çarpanlara ayrılabilir.","x²-y² ifadesi (√x+√y)(√x-√y) şeklinde iki kare farkı olarak çarpanlara ayrılabilir."]},"beginTime":753,"endTime":1047,"href":"/video/preview/10303926966901630269?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=753&ask_summarization=1"}],"linkTemplate":"/video/preview/10303926966901630269?parent-reqid=1769667028111459-14076727945205242942-balancer-l7leveler-kubr-yp-vla-124-BAL&text=Algebraico&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Algebraic Expressions - 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