Diketahui, Tentukan: c.

Pertanyaan

Diketahui,

$begin mathsize 14px style A equals 2 b plus 4 a squared end style$

$begin mathsize 14px style B equals a squared minus 6 b end style$

$begin mathsize 14px style C equals b minus 6 a squared end style$

Tentukan:

c. $begin mathsize 14px style A B plus 2 B C end style$

Pembahasan Soal:

Dari soal tersebut dapat diperoleh hasil sebagai berikut:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell A B plus 2 B C end cell equals cell left parenthesis 2 b plus 4 a squared right parenthesis left parenthesis a squared minus 6 b right parenthesis plus 2 left parenthesis a squared minus 6 b right parenthesis left parenthesis b minus 6 a squared right parenthesis end cell row blank equals cell left parenthesis 2 a squared b minus 12 b squared plus 4 a to the power of 4 minus 24 a squared b right parenthesis plus 2 left parenthesis a squared b minus 6 a to the power of 4 minus 6 b squared plus 36 a squared b right parenthesis end cell row blank equals cell 4 a to the power of 4 minus 22 a squared b minus 12 b squared plus 2 left parenthesis negative 6 a to the power of 4 plus 37 a squared b minus 6 b squared right parenthesis end cell row blank equals cell 4 a to the power of 4 minus 22 a squared b minus 12 b squared minus 12 a to the power of 4 plus 74 a squared b minus 12 b squared end cell row blank equals cell 4 a to the power of 4 minus 12 a to the power of 4 minus 22 a squared b plus 74 a squared b minus 12 b squared minus 12 b squared end cell row blank equals cell negative 8 a to the power of 4 plus 52 a squared b minus 24 b squared end cell end table end style$

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Terakhir diupdate 20 Mei 2021

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