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sifat pangkat tiga dari jumlah dua bilangan bulat

Workshop pendidikan matematika. sifat pangkat tiga dari jumlah dua bilangan bulat. Kelompok VIII HAMKA MUHAMMAD BASIR HERLINA KAMARUDDIN ZAHRATUN NADIRA. JURUSAN MATEMATIKA FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM UNIVERSITAS NEGERI MAKASSAR 2011.

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sifat pangkat tiga dari jumlah dua bilangan bulat

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  1. Workshop pendidikanmatematika sifat pangkat tiga dari jumlah dua bilangan bulat • Kelompok VIII • HAMKA • MUHAMMAD BASIR • HERLINA KAMARUDDIN • ZAHRATUN NADIRA • JURUSAN MATEMATIKA • FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM • UNIVERSITAS NEGERI MAKASSAR • 2011

  2. Pangkattigadarijumlahbilanganbulat(a+b)3= a3 +3a2b+3ab2 +b3 Berikutperaga yang diharapkandapatmembantusiswadalammemahamipengertianpangkattigajumlahbilanganbulatdenganmenggunakanvolumebangunruang

  3. Perhatikangambaralatperaga, panjangrusukkubusadalah (a+b), sehingga volume kubusadalah (a+b)(a+b)(a+b) = (a+b)3. Kubustersebutdipecahmenjadibeberapabalokdankubuskecil. b b a a a b a b

  4. Volume tiapbalok/kubuskecildihitung, dandiperoleh: = 3ab2 = (b.b.a)+(b.a.b)+(a.b.b) = 3a2b = (a.b.a)+(b.a.a)+(a.a.b) = b3 = b.b.b Volume bangunruangtersebutadalah = a3 + 3a2b + 3ab2 + b3 Jadi, (a+b)3= a3 +3a2b+3ab2 +b3 = a3 = a.a.a

  5. SEKIAN DAN TERIMA KASIH

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