2/x+5+4/x+3/frac{3x+13{x^2+8x+15}} eching

$$\frac { \frac { 2 } { x + 5 } + \frac { 4 } { x + 3 } } { \frac { 3 x + 13 } { x ^ { 2 } + 8 x + 15 } }$$

Baholash

$$2$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+5 va x+3 ning eng kichik umumiy karralisi \left(x+3\right)\left(x+5\right). \frac{2}{x+5} ni \frac{x+3}{x+3} marotabaga ko'paytirish. \frac{4}{x+3} ni \frac{x+5}{x+5} marotabaga ko'paytirish.

$$\frac{\frac{2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)}+\frac{4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+8x+15}}$$

\frac{2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)} va \frac{4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{2\left(x+3\right)+4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+8x+15}}$$

2\left(x+3\right)+4\left(x+5\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{2x+6+4x+20}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+8x+15}}$$

2x+6+4x+20 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{6x+26}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+8x+15}}$$

\frac{6x+26}{\left(x+3\right)\left(x+5\right)} ni \frac{3x+13}{x^{2}+8x+15} ga bo'lish \frac{6x+26}{\left(x+3\right)\left(x+5\right)} ga k'paytirish \frac{3x+13}{x^{2}+8x+15} ga qaytarish.

$$\frac{\left(6x+26\right)\left(x^{2}+8x+15\right)}{\left(x+3\right)\left(x+5\right)\left(3x+13\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2\left(x+3\right)\left(x+5\right)\left(3x+13\right)}{\left(x+3\right)\left(x+5\right)\left(3x+13\right)}$$

Surat va maxrajdagi ikkala \left(x+3\right)\left(x+5\right)\left(3x+13\right) ni qisqartiring.

$$2$$

Omil

$$2$$