1/x+1/x+18-1/12 eching

$$\frac { 1 } { x } + \frac { 1 } { x + 18 } - \frac { 1 } { 12 }$$

Baholash

$$-\frac{\left(x-18\right)\left(x+12\right)}{12x\left(x+18\right)}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x va x+18 ning eng kichik umumiy karralisi x\left(x+18\right). \frac{1}{x} ni \frac{x+18}{x+18} marotabaga ko'paytirish. \frac{1}{x+18} ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{x+18}{x\left(x+18\right)}+\frac{x}{x\left(x+18\right)}-\frac{1}{12}$$

\frac{x+18}{x\left(x+18\right)} va \frac{x}{x\left(x+18\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x+18+x}{x\left(x+18\right)}-\frac{1}{12}$$

x+18+x kabi iboralarga o‘xshab birlashtiring.

$$\frac{2x+18}{x\left(x+18\right)}-\frac{1}{12}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x\left(x+18\right) va 12 ning eng kichik umumiy karralisi 12x\left(x+18\right). \frac{2x+18}{x\left(x+18\right)} ni \frac{12}{12} marotabaga ko'paytirish. \frac{1}{12} ni \frac{x\left(x+18\right)}{x\left(x+18\right)} marotabaga ko'paytirish.

$$\frac{12\left(2x+18\right)}{12x\left(x+18\right)}-\frac{x\left(x+18\right)}{12x\left(x+18\right)}$$

\frac{12\left(2x+18\right)}{12x\left(x+18\right)} va \frac{x\left(x+18\right)}{12x\left(x+18\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{12\left(2x+18\right)-x\left(x+18\right)}{12x\left(x+18\right)}$$

12\left(2x+18\right)-x\left(x+18\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{24x+216-x^{2}-18x}{12x\left(x+18\right)}$$

24x+216-x^{2}-18x kabi iboralarga o‘xshab birlashtiring.

$$\frac{6x+216-x^{2}}{12x\left(x+18\right)}$$

12x\left(x+18\right) ni kengaytirish.

$$\frac{6x+216-x^{2}}{12x^{2}+216x}$$

Omil

$$-\frac{\left(x-18\right)\left(x+12\right)}{12x\left(x+18\right)}$$