2x/x+4+7x/x-7 eching

$$\frac { 2 x } { x + 4 } + \frac { 7 x } { x - 7 }$$

Baholash

$$\frac{x\left(9x+14\right)}{\left(x-7\right)\left(x+4\right)}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+4 va x-7 ning eng kichik umumiy karralisi \left(x-7\right)\left(x+4\right). \frac{2x}{x+4} ni \frac{x-7}{x-7} marotabaga ko'paytirish. \frac{7x}{x-7} ni \frac{x+4}{x+4} marotabaga ko'paytirish.

$$\frac{2x\left(x-7\right)}{\left(x-7\right)\left(x+4\right)}+\frac{7x\left(x+4\right)}{\left(x-7\right)\left(x+4\right)}$$

\frac{2x\left(x-7\right)}{\left(x-7\right)\left(x+4\right)} va \frac{7x\left(x+4\right)}{\left(x-7\right)\left(x+4\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2x\left(x-7\right)+7x\left(x+4\right)}{\left(x-7\right)\left(x+4\right)}$$

2x\left(x-7\right)+7x\left(x+4\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{2x^{2}-14x+7x^{2}+28x}{\left(x-7\right)\left(x+4\right)}$$

2x^{2}-14x+7x^{2}+28x kabi iboralarga o‘xshab birlashtiring.

$$\frac{9x^{2}+14x}{\left(x-7\right)\left(x+4\right)}$$

\left(x-7\right)\left(x+4\right) ni kengaytirish.

$$\frac{9x^{2}+14x}{x^{2}-3x-28}$$

Omil

$$\frac{x\left(9x+14\right)}{\left(x-7\right)\left(x+4\right)}$$