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begin mathsize 14px style open parentheses x minus 2 close parentheses to the power of 6 equals end style...

  1. begin mathsize 14px style x to the power of 6 minus 12 x to the power of 5 plus 60 x to the power of 4 minus 160 x cubed plus 240 x squared minus 192 x plus 64 end style 

  2. begin mathsize 14px style x to the power of 6 plus 12 x to the power of 5 plus 60 x to the power of 4 plus 160 x cubed plus 240 x squared plus 192 x plus 64 end style

  3. begin mathsize 14px style x to the power of 6 minus 192 x to the power of 5 plus 240 x to the power of 4 minus 160 x cubed plus 60 x squared minus 12 x plus 64 end style 

  4. begin mathsize 14px style x to the power of 6 plus 192 x to the power of 5 plus 240 x to the power of 4 plus 160 x cubed plus 60 x squared plus 12 x plus 64 end style 

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Perhatikan segitiga Pascal berikut Untuk mencari koefisien-koefisien dari , perhatikan baris yang bilangan keduanya adalah 6, yaitu sebagai berikut Sehingga Maka

Perhatikan segitiga Pascal berikut

 

Untuk mencari koefisien-koefisien dari begin mathsize 14px style open parentheses a plus b close parentheses to the power of 6 end style, perhatikan baris yang bilangan keduanya adalah 6, yaitu sebagai berikut

 

Sehingga

begin mathsize 14px style open parentheses a plus b close parentheses to the power of 6 equals a to the power of 6 plus 6 a to the power of 5 b plus 15 a to the power of 4 b squared plus 20 a cubed b cubed plus 15 a squared b to the power of 4 plus 6 a b to the power of 5 plus b to the power of 6 end style 

Maka

begin mathsize 14px style open parentheses x minus 2 close parentheses to the power of 6 equals open parentheses x plus open parentheses negative 2 close parentheses close parentheses to the power of 6 equals x to the power of 6 plus 6 x to the power of 5 open parentheses negative 2 close parentheses plus 15 x to the power of 4 open parentheses negative 2 close parentheses squared plus 20 x cubed open parentheses negative 2 close parentheses cubed plus 15 x squared open parentheses negative 2 close parentheses to the power of 4 plus 6 x open parentheses negative 2 close parentheses to the power of 5 plus open parentheses negative 2 close parentheses to the power of 6 equals x to the power of 6 plus 6 x to the power of 5 open parentheses negative 2 close parentheses plus 15 x to the power of 4 open parentheses 4 close parentheses plus 20 x cubed open parentheses negative 8 close parentheses plus 15 x squared open parentheses 16 close parentheses plus 6 x open parentheses negative 32 close parentheses plus 64 equals x to the power of 6 minus 12 x to the power of 5 plus 60 x to the power of 4 minus 160 x cubed plus 240 x squared minus 192 x plus 64 end style 

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