Pertanyaan

[SNMPTN 2009] Bentuk sederhana dari x − 1 − y − 1 xy − 1 − x − 1 y = ...

[SNMPTN 2009]

Bentuk sederhana dari $\frac{xy ^{- 1} - x ^{- 1} y}{x ^{- 1} - y ^{- 1}} = ...$

$fraction numerator negative 1 over denominator left parenthesis straight x plus straight y right parenthesis end fraction$

8 dari 10 siswa nilainya naik

dengan paket belajar pilihan

Habis dalam

Klaim

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

$fraction numerator xy to the power of negative 1 end exponent minus straight x to the power of negative 1 end exponent straight y over denominator straight x to the power of negative 1 end exponent minus straight y to the power of negative 1 end exponent end fraction equals fraction numerator straight x over straight y minus straight y over straight x over denominator 1 over straight x minus 1 over straight y end fraction space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator fraction numerator straight x squared minus straight y squared over denominator xy end fraction over denominator fraction numerator straight y minus straight x over denominator xy end fraction end fraction space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator straight x squared minus straight y squared over denominator straight y minus straight x end fraction space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses straight x minus straight y close parentheses left parenthesis straight x plus straight y right parenthesis over denominator negative left parenthesis straight x minus straight y right parenthesis end fraction space space space space space space space space space space space space space space space space space space space space space space space equals negative left parenthesis straight x plus straight y right parenthesis$