8/x+3+12/x+7/frac{5x+23{x^2+10x+21}} eching

$$\frac { \frac { 8 } { x + 3 } + \frac { 12 } { x + 7 } } { \frac { 5 x + 23 } { x ^ { 2 } + 10 x + 21 } }$$

Baholash

$$4$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+3 va x+7 ning eng kichik umumiy karralisi \left(x+3\right)\left(x+7\right). \frac{8}{x+3} ni \frac{x+7}{x+7} marotabaga ko'paytirish. \frac{12}{x+7} ni \frac{x+3}{x+3} marotabaga ko'paytirish.

$$\frac{\frac{8\left(x+7\right)}{\left(x+3\right)\left(x+7\right)}+\frac{12\left(x+3\right)}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

\frac{8\left(x+7\right)}{\left(x+3\right)\left(x+7\right)} va \frac{12\left(x+3\right)}{\left(x+3\right)\left(x+7\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{8\left(x+7\right)+12\left(x+3\right)}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

8\left(x+7\right)+12\left(x+3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{8x+56+12x+36}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

8x+56+12x+36 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{20x+92}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

\frac{20x+92}{\left(x+3\right)\left(x+7\right)} ni \frac{5x+23}{x^{2}+10x+21} ga bo'lish \frac{20x+92}{\left(x+3\right)\left(x+7\right)} ga k'paytirish \frac{5x+23}{x^{2}+10x+21} ga qaytarish.

$$\frac{\left(20x+92\right)\left(x^{2}+10x+21\right)}{\left(x+3\right)\left(x+7\right)\left(5x+23\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{4\left(x+3\right)\left(x+7\right)\left(5x+23\right)}{\left(x+3\right)\left(x+7\right)\left(5x+23\right)}$$

Surat va maxrajdagi ikkala \left(x+3\right)\left(x+7\right)\left(5x+23\right) ni qisqartiring.

$$4$$

Omil

$$2^{2}$$