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Pertanyaan

Buktikan bahwa a ⋅ ( b + c ) bersifat distributif!

Buktikan bahwa  bersifat distributif!

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A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

terbukti bahwa atau bersifat distributif.

terbukti bahwa table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table open parentheses table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with rightwards arrow on top end cell end table plus table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell c with rightwards arrow on top end cell end table close parentheses table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell c with rightwards arrow on top end cell end table atau bersifat distributif.

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Pembahasan

Misalkan dan dan Jadi terbukti bahwa atau bersifat distributif.

Misalkan a with rightwards arrow on top equals open parentheses table row cell straight a subscript 1 end cell row cell straight a subscript 2 end cell row cell straight a subscript 3 end cell end table close parentheses dan b with rightwards arrow on top equals open parentheses table row cell straight b subscript 1 end cell row cell straight b subscript 2 end cell row cell straight b subscript 3 end cell end table close parentheses dan c with rightwards arrow on top equals open parentheses table row cell straight c subscript 1 end cell row cell straight c subscript 2 end cell row cell straight c subscript 3 end cell end table close parentheses


table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top times open parentheses b with rightwards arrow on top plus c with rightwards arrow on top close parentheses end cell equals cell open parentheses table row cell straight a subscript 1 end cell row cell straight a subscript 2 end cell row cell straight a subscript 3 end cell end table close parentheses times open parentheses open parentheses table row cell straight b subscript 1 end cell row cell straight b subscript 2 end cell row cell straight b subscript 3 end cell end table close parentheses plus open parentheses table row cell straight c subscript 1 end cell row cell straight c subscript 2 end cell row cell straight c subscript 3 end cell end table close parentheses close parentheses end cell row blank equals cell open parentheses table row cell straight a subscript 1 end cell row cell straight a subscript 2 end cell row cell straight a subscript 3 end cell end table close parentheses times open parentheses table row cell straight b subscript 1 plus straight c subscript 1 end cell row cell straight b subscript 2 plus straight c subscript 2 end cell row cell straight b subscript 3 plus straight c subscript 3 end cell end table close parentheses end cell row blank equals cell straight a subscript 1 times open parentheses straight b subscript 1 plus straight c subscript 1 close parentheses plus straight a subscript 2 times open parentheses straight b subscript 2 plus straight c subscript 2 close parentheses plus straight a subscript 3 times open parentheses straight b subscript 3 plus straight c subscript 3 close parentheses end cell row blank equals cell straight a subscript 1 times straight b subscript 1 plus straight a subscript 1 times straight c subscript 1 plus straight a subscript 2 times straight b subscript 2 plus straight a subscript 2 times straight c subscript 2 plus end cell row blank blank cell straight a subscript 3 times straight b subscript 3 plus straight a subscript 3 times straight c subscript 3 end cell row blank equals cell open parentheses straight a subscript 1 times straight b subscript 1 plus straight a subscript 2 times straight b subscript 2 plus straight a subscript 3 times straight b subscript 3 close parentheses plus end cell row blank blank cell open parentheses straight a subscript 1 times straight c subscript 1 plus straight a subscript 2 times straight c subscript 2 plus straight a subscript 3 times straight c subscript 3 close parentheses end cell row blank equals cell open parentheses table row cell straight a subscript 1 end cell row cell straight a subscript 2 end cell row cell straight a subscript 3 end cell end table close parentheses times open parentheses table row cell straight b subscript 1 end cell row cell straight b subscript 2 end cell row cell straight b subscript 3 end cell end table close parentheses plus open parentheses table row cell straight a subscript 1 end cell row cell straight a subscript 2 end cell row cell straight a subscript 3 end cell end table close parentheses times open parentheses table row cell straight c subscript 1 end cell row cell straight c subscript 2 end cell row cell straight c subscript 3 end cell end table close parentheses end cell row blank equals cell a with rightwards arrow on top times b with rightwards arrow on top plus a with rightwards arrow on top times c with rightwards arrow on top end cell end table


Jadi terbukti bahwa table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table open parentheses table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with rightwards arrow on top end cell end table plus table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell c with rightwards arrow on top end cell end table close parentheses table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell c with rightwards arrow on top end cell end table atau bersifat distributif.

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