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Pertanyaan

Sederhanakanlah! h. x 2 + x − 12 x 2 ​ : 2 x − 6 x 2 + 3 x ​

Sederhanakanlah!

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S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari fraction numerator x squared over denominator x squared plus x minus 12 end fraction space colon space fraction numerator x squared plus 3 x over denominator 2 x minus 6 end fraction adalah fraction numerator 2 x over denominator open parentheses x plus 4 close parentheses open parentheses x plus 3 close parentheses end fraction.

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Pembahasan

Diketahui bentuk aljabar: Ditanya: bentuk sederhana. Ingat bahwa Mencari bentuk sederhanadari : Jadi, bentuk sederhana dari adalah .

Diketahui bentuk aljabar: 

fraction numerator x squared over denominator x squared plus x minus 12 end fraction space colon space fraction numerator x squared plus 3 x over denominator 2 x minus 6 end fraction

Ditanya: bentuk sederhana.

Ingat bahwa

  • x left parenthesis x plus k right parenthesis equals x left parenthesis x right parenthesis plus x left parenthesis k right parenthesis equals x squared plus x k 
  • table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis x plus p right parenthesis left parenthesis x plus q right parenthesis end cell equals cell x left parenthesis x right parenthesis plus x left parenthesis q right parenthesis plus p left parenthesis x right parenthesis plus p left parenthesis q right parenthesis end cell row blank equals cell x squared plus left parenthesis p plus q right parenthesis x plus p q end cell end table  
  • fraction numerator a over b over denominator c over d end fraction equals fraction numerator a times d over denominator b times c end fraction 

Mencari bentuk sederhana dari fraction numerator x squared over denominator x squared plus x minus 12 end fraction space colon space fraction numerator x squared plus 3 x over denominator 2 x minus 6 end fraction:

fraction numerator x squared over denominator x squared plus x minus 12 end fraction colon thin space fraction numerator x squared plus 3 x over denominator 2 x minus 6 end fraction equals fraction numerator fraction numerator x squared over denominator x squared plus x minus 12 end fraction over denominator fraction numerator x squared plus 3 x over denominator 2 x minus 6 end fraction end fraction equals fraction numerator x squared open parentheses 2 x minus 6 close parentheses over denominator open parentheses x squared plus x minus 12 close parentheses open parentheses x squared plus 3 x close parentheses end fraction equals fraction numerator x squared times thin space 2 open parentheses x minus 3 close parentheses over denominator open parentheses x squared plus x minus 12 close parentheses x open parentheses x plus 3 close parentheses end fraction equals fraction numerator 2 x open parentheses x minus 3 close parentheses over denominator open parentheses x squared plus x minus 12 close parentheses open parentheses x plus 3 close parentheses end fraction equals fraction numerator 2 x open parentheses x minus 3 close parentheses over denominator open parentheses open parentheses x squared minus 3 x close parentheses plus open parentheses 4 x minus 12 close parentheses close parentheses open parentheses x plus 3 close parentheses end fraction equals fraction numerator 2 x open parentheses x minus 3 close parentheses over denominator open parentheses x open parentheses x minus 3 close parentheses plus 4 open parentheses x minus 3 close parentheses close parentheses open parentheses x plus 3 close parentheses end fraction equals fraction numerator 2 x open parentheses x minus 3 close parentheses over denominator open parentheses x minus 3 close parentheses open parentheses x plus 4 close parentheses open parentheses x plus 3 close parentheses end fraction equals fraction numerator 2 x over denominator open parentheses x plus 4 close parentheses open parentheses x plus 3 close parentheses end fraction  

Jadi, bentuk sederhana dari fraction numerator x squared over denominator x squared plus x minus 12 end fraction space colon space fraction numerator x squared plus 3 x over denominator 2 x minus 6 end fraction adalah fraction numerator 2 x over denominator open parentheses x plus 4 close parentheses open parentheses x plus 3 close parentheses end fraction.

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