Pertanyaan

( 3 2 − 1 ) ( 3 2 + 1 ) ( 3 4 + 1 ) ( 3 8 + 1 ) = ...

$(3^{2} - 1) (3^{2} + 1) (3^{4} + 1) (3^{8} + 1) = ...$

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Habis dalam

Klaim

M. Iqbal

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

hasil dari .

hasil dari left parenthesis 3 squared minus 1 right parenthesis left parenthesis 3 squared plus 1 right parenthesis left parenthesis 3 to the power of 4 plus 1 right parenthesis left parenthesis 3 to the power of 8 plus 1 right parenthesis equals open parentheses 3 to the power of 16 minus 1 close parentheses

left parenthesis 3 squared minus 1 right parenthesis left parenthesis 3 squared plus 1 right parenthesis left parenthesis 3 to the power of 4 plus 1 right parenthesis left parenthesis 3 to the power of 8 plus 1 right parenthesis equals open parentheses 3 to the power of 16 minus 1 close parentheses

Pembahasan

Ingat bahwa dan , sehingga Jadi, hasil dari .

Ingat bahwa open parentheses a plus b close parentheses open parentheses a minus b close parentheses equals a squared minus b squared dan open parentheses a to the power of m close parentheses to the power of n equals a to the power of m cross times n end exponent , sehingga

Jadi, hasil dari left parenthesis 3 squared minus 1 right parenthesis left parenthesis 3 squared plus 1 right parenthesis left parenthesis 3 to the power of 4 plus 1 right parenthesis left parenthesis 3 to the power of 8 plus 1 right parenthesis equals open parentheses 3 to the power of 16 minus 1 close parentheses .

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