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Suku ketiga dari penjabaran adalah ....

Suku ketiga dari penjabaran begin mathsize 14px style open parentheses 4 straight x squared minus fraction numerator 1 over denominator 2 straight x to the power of 4 end fraction close parentheses to the power of 5 end style adalah ....

  1. begin mathsize 14px style 160 over straight x squared end style 

  2. begin mathsize 14px style 20 over straight x to the power of 8 end style 

  3. begin mathsize 14px style fraction numerator 5 over denominator 4 straight x to the power of 14 end fraction end style 

  4. begin mathsize 14px style negative 20 over straight x to the power of 8 end style 

  5. begin mathsize 14px style negative 160 over straight x squared end style 

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A. Khairunisa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

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Pembahasan

Penjabaran dapat dituliskan menjadi Maka, suku ketiga dari penjabaran dengan k = 2 dan n = 5 adalah

Penjabaran undefined dapat dituliskan menjadi 

undefined 

Maka, suku ketiga dari penjabaran undefined dengan k = 2 dan n = 5 adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight U subscript 3 end cell equals cell straight C presubscript 5 presuperscript straight subscript 2 open parentheses 4 straight x squared close parentheses to the power of 5 minus 2 end exponent open parentheses negative fraction numerator 1 over denominator 2 straight x to the power of 4 end fraction close parentheses squared end cell row blank equals cell fraction numerator 5 factorial over denominator 3 factorial space. space 2 factorial end fraction open parentheses 4 straight x squared close parentheses cubed open parentheses negative fraction numerator 1 over denominator 2 straight x to the power of 4 end fraction close parentheses squared end cell row blank equals cell fraction numerator 5 cross times 4 cross times 3 factorial over denominator 3 factorial space. space 2 factorial end fraction open parentheses 64 straight x to the power of 6 close parentheses open parentheses fraction numerator 1 over denominator 4 straight x to the power of 8 end fraction close parentheses end cell row blank equals cell fraction numerator 5 cross times 4 cross times up diagonal strike 3 factorial end strike over denominator up diagonal strike 3 factorial end strike space. space 2 factorial end fraction open parentheses 64 straight x to the power of 6 close parentheses open parentheses fraction numerator 1 over denominator 4 straight x to the power of 8 end fraction close parentheses end cell row blank equals cell fraction numerator 5 cross times 4 over denominator 2 factorial end fraction open parentheses 64 straight x to the power of 6 close parentheses open parentheses fraction numerator 1 over denominator 4 straight x to the power of 8 end fraction close parentheses end cell row blank equals cell 20 over 2 open parentheses 64 straight x to the power of 6 close parentheses open parentheses fraction numerator 1 over denominator 4 straight x to the power of 8 end fraction close parentheses end cell row blank equals cell 10 open parentheses 64 straight x to the power of 6 close parentheses open parentheses fraction numerator 1 over denominator 4 straight x to the power of 8 end fraction close parentheses end cell row blank equals cell 160 straight x to the power of 6 over straight x to the power of 8 end cell row blank equals cell 160 straight x to the power of 6 minus 8 end exponent end cell row blank equals cell 160 straight x to the power of negative 2 end exponent end cell row blank equals cell 160 over straight x squared end cell end table end style 

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