x-11/x^2-144/1+frac{1{x-12}}-1/x-12 eching

$$\frac { \frac { x - 11 } { x ^ { 2 } - 144 } } { 1 + \frac { 1 } { x - 12 } } - \frac { 1 } { x - 12 }$$

Baholash

$$-\frac{24}{x^{2}-144}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x-12}{x-12} marotabaga ko'paytirish.

$$\frac{\frac{x-11}{x^{2}-144}}{\frac{x-12}{x-12}+\frac{1}{x-12}}-\frac{1}{x-12}$$

\frac{x-12}{x-12} va \frac{1}{x-12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{x-11}{x^{2}-144}}{\frac{x-12+1}{x-12}}-\frac{1}{x-12}$$

x-12+1 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{x-11}{x^{2}-144}}{\frac{x-11}{x-12}}-\frac{1}{x-12}$$

\frac{x-11}{x^{2}-144} ni \frac{x-11}{x-12} ga bo'lish \frac{x-11}{x^{2}-144} ga k'paytirish \frac{x-11}{x-12} ga qaytarish.

$$\frac{\left(x-11\right)\left(x-12\right)}{\left(x^{2}-144\right)\left(x-11\right)}-\frac{1}{x-12}$$

Surat va maxrajdagi ikkala x-11 ni qisqartiring.

$$\frac{x-12}{x^{2}-144}-\frac{1}{x-12}$$

\frac{x-12}{x^{2}-144} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{x-12}{\left(x-12\right)\left(x+12\right)}-\frac{1}{x-12}$$

Surat va maxrajdagi ikkala x-12 ni qisqartiring.

$$\frac{1}{x+12}-\frac{1}{x-12}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+12 va x-12 ning eng kichik umumiy karralisi \left(x-12\right)\left(x+12\right). \frac{1}{x+12} ni \frac{x-12}{x-12} marotabaga ko'paytirish. \frac{1}{x-12} ni \frac{x+12}{x+12} marotabaga ko'paytirish.

$$\frac{x-12}{\left(x-12\right)\left(x+12\right)}-\frac{x+12}{\left(x-12\right)\left(x+12\right)}$$

\frac{x-12}{\left(x-12\right)\left(x+12\right)} va \frac{x+12}{\left(x-12\right)\left(x+12\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{x-12-\left(x+12\right)}{\left(x-12\right)\left(x+12\right)}$$

x-12-\left(x+12\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{x-12-x-12}{\left(x-12\right)\left(x+12\right)}$$

x-12-x-12 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-24}{\left(x-12\right)\left(x+12\right)}$$

\left(x-12\right)\left(x+12\right) ni kengaytirish.

$$\frac{-24}{x^{2}-144}$$

Kengaytirish

$$-\frac{24}{x^{2}-144}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x-12}{x-12} marotabaga ko'paytirish.

$$\frac{\frac{x-11}{x^{2}-144}}{\frac{x-12}{x-12}+\frac{1}{x-12}}-\frac{1}{x-12}$$

\frac{x-12}{x-12} va \frac{1}{x-12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{x-11}{x^{2}-144}}{\frac{x-12+1}{x-12}}-\frac{1}{x-12}$$

x-12+1 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{x-11}{x^{2}-144}}{\frac{x-11}{x-12}}-\frac{1}{x-12}$$

\frac{x-11}{x^{2}-144} ni \frac{x-11}{x-12} ga bo'lish \frac{x-11}{x^{2}-144} ga k'paytirish \frac{x-11}{x-12} ga qaytarish.

$$\frac{\left(x-11\right)\left(x-12\right)}{\left(x^{2}-144\right)\left(x-11\right)}-\frac{1}{x-12}$$

Surat va maxrajdagi ikkala x-11 ni qisqartiring.

$$\frac{x-12}{x^{2}-144}-\frac{1}{x-12}$$

\frac{x-12}{x^{2}-144} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{x-12}{\left(x-12\right)\left(x+12\right)}-\frac{1}{x-12}$$

Surat va maxrajdagi ikkala x-12 ni qisqartiring.

$$\frac{1}{x+12}-\frac{1}{x-12}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+12 va x-12 ning eng kichik umumiy karralisi \left(x-12\right)\left(x+12\right). \frac{1}{x+12} ni \frac{x-12}{x-12} marotabaga ko'paytirish. \frac{1}{x-12} ni \frac{x+12}{x+12} marotabaga ko'paytirish.

$$\frac{x-12}{\left(x-12\right)\left(x+12\right)}-\frac{x+12}{\left(x-12\right)\left(x+12\right)}$$

\frac{x-12}{\left(x-12\right)\left(x+12\right)} va \frac{x+12}{\left(x-12\right)\left(x+12\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{x-12-\left(x+12\right)}{\left(x-12\right)\left(x+12\right)}$$

x-12-\left(x+12\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{x-12-x-12}{\left(x-12\right)\left(x+12\right)}$$

x-12-x-12 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-24}{\left(x-12\right)\left(x+12\right)}$$

\left(x-12\right)\left(x+12\right) ni kengaytirish.

$$\frac{-24}{x^{2}-144}$$