Pertanyaan

Penyederhanaan bntuk pecahan y x + x y − 2 x 1 − y 1 menghasilkan ...

Penyederhanaan bntuk pecahan $\frac{\frac{1}{x} - \frac{1}{y}}{\frac{x}{y} + \frac{y}{x} - 2}$ menghasilkan ...

$fraction numerator begin display style 1 end style over denominator begin display style x minus y end style end fraction$
$fraction numerator begin display style 1 end style over denominator begin display style y minus x end style end fraction$

R. RGFLLIMA

Master Teacher

Jawaban terverifikasi

Pembahasan

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