x-y/xy+y-z/yz-x-z/xz eching

$$\frac{ x-y }{ xy } + \frac{ y-z }{ yz } - \frac{ x-z }{ xz }$$

Baholash

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Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. xy va yz ning eng kichik umumiy karralisi xyz. \frac{x-y}{xy} ni \frac{z}{z} marotabaga ko'paytirish. \frac{y-z}{yz} ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{\left(x-y\right)z}{xyz}+\frac{\left(y-z\right)x}{xyz}-\frac{x-z}{xz}$$

\frac{\left(x-y\right)z}{xyz} va \frac{\left(y-z\right)x}{xyz} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(x-y\right)z+\left(y-z\right)x}{xyz}-\frac{x-z}{xz}$$

\left(x-y\right)z+\left(y-z\right)x ichidagi ko‘paytirishlarni bajaring.

$$\frac{xz-yz+yx-zx}{xyz}-\frac{x-z}{xz}$$

xz-yz+yx-zx kabi iboralarga o‘xshab birlashtiring.

$$\frac{-yz+yx}{xyz}-\frac{x-z}{xz}$$

\frac{-yz+yx}{xyz} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{y\left(x-z\right)}{xyz}-\frac{x-z}{xz}$$

Surat va maxrajdagi ikkala y ni qisqartiring.

$$\frac{x-z}{xz}-\frac{x-z}{xz}$$

\frac{x-z}{xz} va \frac{x-z}{xz} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{x-z-\left(x-z\right)}{xz}$$

x-z-\left(x-z\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{x-z-x+z}{xz}$$

x-z-x+z kabi iboralarga o‘xshab birlashtiring.

$$\frac{0}{xz}$$

Nolni nolga teng bo‘lmagan har qanday songa boʻlsangiz, natija nol chiqadi.

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Omil

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