Pertanyaan

Jika p = ( x 2 3 + x 2 1 ) ( x 3 1 − x − 3 1 ) dan q = ( x 2 1 + x − 2 1 ) ( x − x 3 1 ) , maka q p = ...

Jika $p = (x^{\frac{3}{2}} + x^{\frac{1}{2}}) (x^{\frac{1}{3}} - x^{- \frac{1}{3}})$ dan $q = (x^{\frac{1}{2}} + x^{- \frac{1}{2}}) (x - x^{\frac{1}{3}}),$ maka $\frac{p}{q} = ...$

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

$p over q equals fraction numerator open parentheses x to the power of begin display style 3 over 2 end style end exponent plus x to the power of begin display style 1 half end style end exponent close parentheses begin display style open parentheses x to the power of 1 third end exponent minus x to the power of negative 1 third end exponent close parentheses end style over denominator open parentheses x to the power of begin display style 1 half end style end exponent plus x to the power of negative begin display style 1 half end style end exponent close parentheses begin display style open parentheses x minus x to the power of 1 third end exponent close parentheses end style end fraction space space space space space equals fraction numerator begin display style open square brackets x open parentheses x to the power of 1 half end exponent plus x to the power of negative 1 half end exponent close parentheses close square brackets open parentheses x to the power of 1 third end exponent minus x to the power of negative 1 third end exponent close parentheses end style over denominator open parentheses x to the power of begin display style 1 half end style end exponent plus x to the power of negative begin display style 1 half end style end exponent close parentheses begin display style open square brackets x to the power of 2 over 3 end exponent open parentheses x to the power of 1 third end exponent minus x to the power of negative 1 third end exponent close parentheses close square brackets end style end fraction space space space space space space equals x over x to the power of begin display style 2 over 3 end style end exponent space space space space space space equals x to the power of 1 minus 2 over 3 end exponent space space space space space space equals x to the power of 1 third end exponent space space space space space equals cube root of x$