Jika p=(x23+x21)(x31−x−31) dan q=(x21+x−21)(x−x31), maka qp=...

Pertanyaan

Jika $\style{font-size:14px}{p=\left(x^\frac32+x^\frac12\right)\left(x^\frac13-x^{-\frac13}\right)}$ dan $\style{font-size:14px}{q=\left(x^\frac12+x^{-\frac12}\right)\left(x-x^\frac13\right)}$ , maka $\style{font-size:14px}{\frac pq=...}$

A. Rahmawati

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell p over q end cell equals cell fraction numerator open parentheses x to the power of begin display style 3 over 2 end style end exponent plus x to the power of begin display style 1 half end style end exponent close parentheses open parentheses x to the power of begin display style 1 third end style end exponent minus x to the power of negative begin display style 1 third end style end exponent close parentheses over denominator open parentheses x to the power of begin display style 1 half end style end exponent plus x to the power of negative begin display style 1 half end style end exponent close parentheses open parentheses x minus x to the power of begin display style 1 third end style end exponent close parentheses end fraction end cell row blank equals cell fraction numerator x to the power of begin display style 1 half end style end exponent open parentheses x plus 1 close parentheses times x to the power of negative begin display style 1 third end style end exponent open parentheses x to the power of begin display style 2 over 3 end style end exponent minus 1 close parentheses over denominator x to the power of negative begin display style 1 half end style end exponent open parentheses x plus 1 close parentheses times x to the power of begin display style 1 third end style end exponent open parentheses x to the power of begin display style 2 over 3 end style end exponent minus 1 close parentheses end fraction end cell row blank equals cell fraction numerator x to the power of begin display style 1 half end style end exponent up diagonal strike open parentheses x plus 1 close parentheses end strike times x to the power of negative begin display style 1 third end style end exponent up diagonal strike open parentheses x to the power of begin display style 2 over 3 end style end exponent minus 1 close parentheses end strike over denominator x to the power of negative begin display style 1 half end style end exponent up diagonal strike open parentheses x plus 1 close parentheses end strike times x to the power of begin display style 1 third end style end exponent up diagonal strike open parentheses x to the power of begin display style 2 over 3 end style end exponent minus 1 close parentheses end strike end fraction end cell row blank equals cell fraction numerator x to the power of begin display style 1 half end style end exponent times x to the power of negative begin display style 1 third end style end exponent over denominator x to the power of negative begin display style 1 half end style end exponent times x to the power of begin display style 1 third end style end exponent end fraction end cell row blank equals cell x to the power of 1 half end exponent times x to the power of negative 1 third end exponent times x to the power of 1 half end exponent times x to the power of negative 1 third end exponent end cell row blank equals cell x to the power of 1 half minus 1 third plus 1 half minus 1 third end exponent end cell row blank equals cell x to the power of 1 minus 2 over 3 end exponent end cell row blank equals cell x to the power of 1 third end exponent end cell end table end style$

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reyhana valentina

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