24/x-3+15/3x+1 eching

$$\frac{24}{x-3} + \frac{15}{3x+1}$$

Baholash

$$\frac{3\left(29x-7\right)}{\left(x-3\right)\left(3x+1\right)}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-3 va 3x+1 ning eng kichik umumiy karralisi \left(x-3\right)\left(3x+1\right). \frac{24}{x-3} ni \frac{3x+1}{3x+1} marotabaga ko'paytirish. \frac{15}{3x+1} ni \frac{x-3}{x-3} marotabaga ko'paytirish.

$$\frac{24\left(3x+1\right)}{\left(x-3\right)\left(3x+1\right)}+\frac{15\left(x-3\right)}{\left(x-3\right)\left(3x+1\right)}$$

\frac{24\left(3x+1\right)}{\left(x-3\right)\left(3x+1\right)} va \frac{15\left(x-3\right)}{\left(x-3\right)\left(3x+1\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{24\left(3x+1\right)+15\left(x-3\right)}{\left(x-3\right)\left(3x+1\right)}$$

24\left(3x+1\right)+15\left(x-3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{72x+24+15x-45}{\left(x-3\right)\left(3x+1\right)}$$

72x+24+15x-45 kabi iboralarga o‘xshab birlashtiring.

$$\frac{87x-21}{\left(x-3\right)\left(3x+1\right)}$$

\left(x-3\right)\left(3x+1\right) ni kengaytirish.

$$\frac{87x-21}{3x^{2}-8x-3}$$

Omil

$$\frac{3\left(29x-7\right)}{\left(x-3\right)\left(3x+1\right)}$$