Sederhanakanlah! b. x2−4x−45x2−9x

Pertanyaan

Sederhanakanlah!

b. $fraction numerator x squared minus 9 x over denominator x squared minus 4 x minus 45 end fraction$

S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

bentuk sederhana dari $fraction numerator x squared minus 9 x over denominator x squared minus 4 x minus 45 end fraction$ adalah $fraction numerator x over denominator x plus 5 end fraction$ .

Pembahasan

Diketahui bentuk aljabar:

$fraction numerator x squared minus 9 x over denominator x squared minus 4 x minus 45 end fraction$

Ditanya: bentuk sederhana.

Ingat bahwa pemfaktoran

Mencari bentuk sederhana dengan pemfaktoran dari $fraction numerator x squared minus 9 x over denominator x squared minus 4 x minus 45 end fraction$ :

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator x squared minus 9 x over denominator x squared minus 4 x minus 45 end fraction end cell equals cell fraction numerator x open parentheses x minus 9 close parentheses over denominator x squared minus 4 x minus 45 end fraction end cell row blank equals cell fraction numerator x open parentheses x minus 9 close parentheses over denominator open parentheses x squared plus 5 x close parentheses plus open parentheses negative 9 x minus 45 close parentheses end fraction end cell row blank equals cell fraction numerator x open parentheses x minus 9 close parentheses over denominator x open parentheses x plus 5 close parentheses minus 9 open parentheses x plus 5 close parentheses end fraction end cell row blank equals cell fraction numerator x open parentheses x minus 9 close parentheses over denominator open parentheses x plus 5 close parentheses open parentheses x minus 9 close parentheses end fraction end cell row blank equals cell fraction numerator x over denominator x plus 5 end fraction end cell end table$

Jadi, bentuk sederhana dari $fraction numerator x squared minus 9 x over denominator x squared minus 4 x minus 45 end fraction$ adalah $fraction numerator x over denominator x plus 5 end fraction$ .