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Diketahui : ABC​===​2b+4a2a2−6bb−6a2​  Tentukan b) 3A−2(B−C)

Pertanyaan

Diketahui :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row A equals cell 2 b plus 4 a squared end cell row B equals cell a squared minus 6 b end cell row C equals cell b minus 6 a squared end cell end table end style 

Tentukan

b) begin mathsize 14px style 3 A minus 2 open parentheses B minus C close parentheses end style 

L. Indah

Master Teacher

Mahasiswa/Alumni Universitas Siliwangi

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style 3 A minus 2 open parentheses B minus C close parentheses end style adalah begin mathsize 14px style negative 2 a squared plus 20 b end style

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 3 A minus 2 left parenthesis B minus C right parenthesis end cell equals cell 3 left parenthesis 2 b plus 4 a squared right parenthesis minus 2 left parenthesis left parenthesis a squared minus 6 b right parenthesis minus left parenthesis b minus 6 a squared right parenthesis right parenthesis end cell row blank equals cell 6 b plus 12 a squared minus 2 left parenthesis a squared minus 6 b minus b plus 6 a squared right parenthesis end cell row blank equals cell 6 b plus 12 a squared minus 2 a squared plus 12 b plus 2 b minus 12 a squared end cell row blank equals cell 12 a squared minus 12 a squared minus 2 a squared plus 6 b plus 12 b plus 2 b end cell row blank equals cell negative 2 a squared plus 20 b end cell end table end style 

Dengan demikian, begin mathsize 14px style 3 A minus 2 open parentheses B minus C close parentheses end style adalah begin mathsize 14px style negative 2 a squared plus 20 b end style

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