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( p + q ) 3 − ( p − q ) 3 = ....

  1. begin mathsize 14px style straight p cubed plus 3 pq squared end style

  2. begin mathsize 14px style 2 straight p cubed plus 6 pq squared end style

  3. begin mathsize 14px style 3 straight p squared straight q plus straight q cubed end style

  4. begin mathsize 14px style 6 straight p squared straight q plus 2 straight q cubed end style

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Perhatikan bahwa Sehingga dan Maka

Perhatikan bahwa

begin mathsize 14px style open parentheses straight a plus straight b close parentheses cubed equals straight a cubed plus 3 straight a squared straight b plus 3 ab squared plus straight b cubed end style 

Sehingga

begin mathsize 14px style open parentheses straight p plus straight q close parentheses cubed equals straight p cubed plus 3 straight p squared straight q plus 3 pq squared plus straight q cubed end style

dan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight p minus straight q close parentheses cubed end cell equals cell open parentheses straight p plus open parentheses negative straight q close parentheses close parentheses cubed end cell row blank equals cell straight p cubed plus 3 straight p squared open parentheses negative 1 close parentheses plus 3 straight p open parentheses negative straight q close parentheses squared plus open parentheses negative straight q close parentheses cubed end cell row blank equals cell straight p cubed minus 3 straight p squared straight q plus 3 pq squared minus straight q cubed end cell end table end style 

Maka

begin mathsize 14px style open parentheses straight p plus straight q close parentheses cubed minus open parentheses straight p minus straight q close parentheses cubed equals open parentheses straight p cubed plus 3 straight p squared straight q plus 3 pq squared plus straight q cubed close parentheses minus open parentheses straight p cubed minus 3 straight p squared straight q plus 3 pq squared minus straight q cubed close parentheses equals straight p cubed plus 3 straight p squared straight q plus 3 pq squared plus straight q cubed minus straight p cubed minus 3 straight p squared straight q plus 3 pq squared minus straight q cubed equals 6 straight p squared straight q plus 2 straight q cubed end style 

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