Pertanyaan

Hasil dari ( 5 x − 2 y 1 ) ( 5 x − 2 y ) adalah ....

Hasil dari $(5 x - \frac{1}{2 y}) (5 x - 2 y)$ adalah ....

$begin mathsize 14px style 25 straight x squared plus fraction numerator open parentheses 4 straight y squared minus 1 close parentheses over denominator 2 straight y end fraction open parentheses 5 straight x close parentheses plus 1 end style$
$begin mathsize 14px style 25 straight x squared minus fraction numerator open parentheses 4 straight y squared minus 1 close parentheses over denominator 2 straight y end fraction open parentheses 5 straight x close parentheses plus 1 end style$
$begin mathsize 14px style 25 straight x squared plus fraction numerator open parentheses 4 straight y squared plus 1 close parentheses over denominator 2 straight y end fraction open parentheses 5 straight x close parentheses plus 1 end style$
$begin mathsize 14px style 25 straight x squared minus fraction numerator open parentheses 4 straight y squared plus 1 close parentheses over denominator 2 straight y end fraction open parentheses 5 straight x close parentheses plus 1 end style$

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Ingat bahwa Misal maka didapat Jadi, jawaban yang tepat adalah D.

Ingat bahwa

Misal

$begin mathsize 14px style straight x equals left parenthesis 5 straight x right parenthesis straight a equals negative fraction numerator 1 over denominator 2 straight y end fraction straight b equals negative 2 straight y end style$

maka didapat

$begin mathsize 14px style open parentheses 5 straight x minus fraction numerator 1 over denominator 2 straight y end fraction close parentheses left parenthesis 5 straight x minus 2 straight y right parenthesis equals left parenthesis 5 straight x right parenthesis squared plus open parentheses negative fraction numerator 1 over denominator 2 straight y end fraction minus 2 straight y close parentheses left parenthesis 5 straight x right parenthesis plus open parentheses negative fraction numerator 1 over denominator 2 straight y end fraction close parentheses left parenthesis negative 2 straight y right parenthesis equals 25 straight x squared minus open parentheses fraction numerator 1 over denominator 2 straight y end fraction plus fraction numerator 4 straight y squared over denominator 2 straight y end fraction close parentheses left parenthesis 5 straight x right parenthesis plus 1 equals 25 straight x squared minus fraction numerator left parenthesis 4 straight y squared plus 1 right parenthesis over denominator 2 straight y end fraction left parenthesis 5 straight x right parenthesis plus 1 end style$

Jadi, jawaban yang tepat adalah D.