Pertanyaan

Hasil dari ( 2 x + 1 x 2 − 2 x + 3 ) : ( x − 4 x 2 − 16 ) adalah ...

Hasil dari $(\frac{x ^{2} - 2 x + 3}{2 x + 1}) : (\frac{x ^{2} - 16}{x - 4})$ adalah ...

S. Amamah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

hasil dari adalah .

hasil dari $open parentheses fraction numerator x squared minus 2 x plus 3 over denominator 2 x plus 1 end fraction close parentheses space colon space open parentheses fraction numerator x squared minus 16 over denominator x minus 4 end fraction close parentheses$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x squared minus 2 x plus 3 over denominator 2 x squared plus 9 x plus 4 end fraction end cell end table$ .

Pembahasan

Ingat konsep pemfaktoran, faktorkan bentuk maka: sehingga: Dengan demikian hasil dari adalah .

Ingat konsep pemfaktoran, faktorkan bentuk x squared minus 16 maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator x squared minus 16 over denominator x minus 4 end fraction end cell equals cell fraction numerator open parentheses x minus 4 close parentheses open parentheses x plus 4 close parentheses over denominator x minus 4 end fraction end cell row blank equals cell x plus 4 end cell end table$

sehingga:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator x squared minus 2 x plus 3 over denominator 2 x plus 1 end fraction close parentheses space colon space open parentheses fraction numerator x squared minus 16 over denominator x minus 4 end fraction close parentheses end cell equals cell open parentheses fraction numerator x squared minus 2 x plus 3 over denominator 2 x plus 1 end fraction close parentheses space colon space x plus 4 end cell row blank equals cell fraction numerator x squared minus 2 x plus 3 over denominator 2 x plus 1 end fraction times fraction numerator 1 over denominator x plus 4 end fraction end cell row blank equals cell fraction numerator x squared minus 2 x plus 3 over denominator open parentheses 2 x plus 1 close parentheses open parentheses x plus 4 close parentheses end fraction end cell row blank equals cell fraction numerator x squared minus 2 x plus 3 over denominator 2 x squared plus 8 x plus x plus 4 end fraction end cell row blank equals cell fraction numerator x squared minus 2 x plus 3 over denominator 2 x squared plus 9 x plus 4 end fraction end cell end table$

Dengan demikian hasil dari $open parentheses fraction numerator x squared minus 2 x plus 3 over denominator 2 x plus 1 end fraction close parentheses space colon space open parentheses fraction numerator x squared minus 16 over denominator x minus 4 end fraction close parentheses$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x squared minus 2 x plus 3 over denominator 2 x squared plus 9 x plus 4 end fraction end cell end table$ .