Pertanyaan

Bentuk sederhana dari x − ( x + 1 ) − x + 2 1 1 1 adalah...

Bentuk sederhana dari $\frac{1}{x - \frac{1}{( x + 1 ) - \frac{1}{x + 2}}}$ adalah...

$fraction numerator x squared plus 3 x plus 1 over denominator x cubed plus 3 x squared plus 2 end fraction$
$fraction numerator x squared plus 3 x minus 1 over denominator x cubed plus 3 x squared plus 2 end fraction$
$fraction numerator x squared plus 3 x plus 1 over denominator x cubed plus 3 x squared minus 2 end fraction$
$fraction numerator x squared plus 3 x minus 1 over denominator x cubed plus 3 x squared minus 2 end fraction$

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Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$fraction numerator 1 over denominator x minus begin display style fraction numerator 1 over denominator open parentheses x plus 1 close parentheses minus begin display style fraction numerator 1 over denominator x plus 2 end fraction end style end fraction end style end fraction equals fraction numerator 1 over denominator x minus begin display style fraction numerator 1 over denominator begin display style fraction numerator open parentheses x plus 1 close parentheses open parentheses x plus 2 close parentheses minus 1 over denominator x plus 2 end fraction end style end fraction end style end fraction equals fraction numerator 1 over denominator x minus begin display style fraction numerator 1 over denominator begin display style open parentheses x squared plus 3 x plus 2 close parentheses minus 1 end style end fraction end style end fraction equals fraction numerator 1 over denominator x minus begin display style fraction numerator 1 over denominator begin display style x squared plus 3 x plus 1 end style end fraction end style end fraction equals fraction numerator 1 over denominator x open parentheses begin display style x squared plus 3 x plus 1 end style close parentheses minus open parentheses x plus 2 close parentheses end fraction equals fraction numerator x squared plus 3 x plus 1 over denominator x cubed plus 3 x squared minus 2 end fraction$