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İçerik, doğal sayıların iki kare farkı biçiminde nasıl ayrılabileceği, geometrik şekillerle ilgili sorular ve farklı kuvvetlerin farkının iki kare farkı olarak nasıl ifade edilebileceği gibi konuları kapsamaktadır.","Video, teorik bilgilerin yanı sıra pratik örneklerle desteklenmekte ve özellikle bir karenin içinden dört eş kare çıkarıldığında oluşan boyalı bölgenin alanını veren cebirsel ifadeyi çarpanlarına ayırma örneği üzerinden konuyu pekiştirmektedir."]},"endTime":1224,"title":"LGS 2025 Serisi: İki Kare Farkı Özdeşliği","beginTime":0}],"fullResult":[{"index":0,"title":"İki Kare Farkı Özdeşliği Tanıtımı","list":{"type":"unordered","items":["LGS 2025 serisinin 32. bölümünde iki kare farkı özdeşliği işlenecek.","İki kare farkı özdeşliği, iki karesi alınmış ifadelerin farkını (x² - y²) çarpanlarına ayırma yöntemidir.","Özdeşlik kuralı: Birinci ve ikinci terimin farkı ile birinci ve ikinci terimin toplamının çarpımı iki kare farkına 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ayrılabilir.","16x² - 9y² ifadesi (4x-3y)(4x+3y) şeklinde çarpanlarına ayrılabilir."]},"beginTime":265,"endTime":384,"href":"/video/preview/7080672952778425187?parent-reqid=1774755759323213-3965928358268425646-balancer-l7leveler-kubr-yp-vla-182-BAL&text=Two+Squared&t=265&ask_summarization=1"},{"index":3,"title":"Daha Karmaşık Örnekler","list":{"type":"unordered","items":["36x² - 25y² ifadesi (6x-5y)(6x+5y) şeklinde çarpanlarına ayrılabilir.","5x² - 6y² ifadesi (5x-6y)(5x+6y) şeklinde çarpanlarına ayrılabilir.","81x² - 144 ifadesi (9x-12)(9x+12) şeklinde çarpanlarına ayrılabilir."]},"beginTime":384,"endTime":481,"href":"/video/preview/7080672952778425187?parent-reqid=1774755759323213-3965928358268425646-balancer-l7leveler-kubr-yp-vla-182-BAL&text=Two+Squared&t=384&ask_summarization=1"},{"index":4,"title":"Çarpanlara Ayrılmış İfadelerin Özdeşliği","list":{"type":"unordered","items":["(x-4)(x+4) ifadesi x² - 16 şeklinde iki kare farkı özdeşliğine uygundur.","(2x-5)² ifadesi 4x² - 25 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özdeşliği, birinci terim eksi ikinci terim çarpı birinci terim artı ikinci terim şeklinde yazılır.","Toplamları dokuz, farkları beş olan iki sayının karelerinin farkı, iki kare farkı özdeşliği kullanılarak 45 olarak bulunur.","İki kare farkı özdeşliği, iki karesi alınmış ifadelerin farkını almak için kullanılır."]},"beginTime":635,"endTime":735,"href":"/video/preview/7080672952778425187?parent-reqid=1774755759323213-3965928358268425646-balancer-l7leveler-kubr-yp-vla-182-BAL&text=Two+Squared&t=635&ask_summarization=1"},{"index":7,"title":"Dördüncü Kuvvet Farkı","list":{"type":"unordered","items":["x üzeri dört eksi y üzeri dört ifadesi, iki kare farkı biçiminde yazılabilir.","x üzeri dört, x'in karesinin karesi olarak, y üzeri dört ise y'nin karesinin karesi olarak ifade edilir.","x üzeri dört eksi y üzeri dört ifadesi, (x² + y²) × (x² - y²) şeklinde çarpanlarına ayrılabilir."]},"beginTime":735,"endTime":868,"href":"/video/preview/7080672952778425187?parent-reqid=1774755759323213-3965928358268425646-balancer-l7leveler-kubr-yp-vla-182-BAL&text=Two+Squared&t=735&ask_summarization=1"},{"index":8,"title":"Geometrik Şekillerde İki Kare Farkı","list":{"type":"unordered","items":["İki kare farkı özdeşliği, geometrik şekillerle ilgili sorularda da kullanılabilir.","Boyalı bölgenin alanı, büyük şeklin alanı içerideki beyaz şeklin alanından çıkarılarak bulunur.","Boyalı bölgenin alanı, (5x - 2y) × (5x + 2y) şeklinde çarpanlarına ayrılabilir."]},"beginTime":868,"endTime":944,"href":"/video/preview/7080672952778425187?parent-reqid=1774755759323213-3965928358268425646-balancer-l7leveler-kubr-yp-vla-182-BAL&text=Two+Squared&t=868&ask_summarization=1"},{"index":9,"title":"Karmaşık İki Kare Farkı Örneği","list":{"type":"unordered","items":["13 × x üzeri dört eksi 208 ifadesi, önce 13 parantezine alınarak düzenlenir.","13 × x üzeri dört eksi 208 ifadesi, 13 × (x⁴ - 16) şeklinde yazılır.","x⁴ eksi 16 ifadesi, iki kare farkı özdeşliği kullanılarak (x² + 4) × (x² - 4) şeklinde çarpanlarına ayrılır."]},"beginTime":944,"endTime":1083,"href":"/video/preview/7080672952778425187?parent-reqid=1774755759323213-3965928358268425646-balancer-l7leveler-kubr-yp-vla-182-BAL&text=Two+Squared&t=944&ask_summarization=1"},{"index":10,"title":"İki Kare Farkı Özdeşliği Örneği","list":{"type":"unordered","items":["Bir kenarı 6 santim olan bir kareden, bir kenarı x santim olan dört tane eş kare çıkarılıyor.","Büyük şeklin alanı 6×6=36 santim kare, dört küçük karenin toplam alanı 4x² olarak hesaplanıyor.","Boyalı bölgenin alanını veren cebirsel ifade 36-4x² olarak bulunuyor ve iki kare farkı biçiminde çarpanlarına ayrılıyor: 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Welcome to Gauthmath! What is the result of (a+b)(a-b)? It's a²-b² i.e. the difference of two squares. Let's take a look at this expression (9+1)(9-1). If you...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4443413/d51d425c1900ab289a07e0af97e53935/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/oTgiPgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1774755759323213-3965928358268425646-balancer-l7leveler-kubr-yp-vla-182-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D79T73tmtuRU","linkTemplate":"/video/preview/6204927398580803449?parent-reqid=1774755759323213-3965928358268425646-balancer-l7leveler-kubr-yp-vla-182-BAL&text=Two+Squared&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The Difference of Two Squares","related_orig_text":"Two Squared","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Two 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