x-4+9/2x+3/x+3-frac{5{2x+3}} eching

$$\frac { x - 4 + \frac { 9 } { 2 x + 3 } } { x + 3 - \frac { 5 } { 2 x + 3 } }$$

Baholash

$$\frac{x-3}{x+4}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-4 ni \frac{2x+3}{2x+3} marotabaga ko'paytirish.

$$\frac{\frac{\left(x-4\right)\left(2x+3\right)}{2x+3}+\frac{9}{2x+3}}{x+3-\frac{5}{2x+3}}$$

\frac{\left(x-4\right)\left(2x+3\right)}{2x+3} va \frac{9}{2x+3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{\left(x-4\right)\left(2x+3\right)+9}{2x+3}}{x+3-\frac{5}{2x+3}}$$

\left(x-4\right)\left(2x+3\right)+9 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{2x^{2}+3x-8x-12+9}{2x+3}}{x+3-\frac{5}{2x+3}}$$

2x^{2}+3x-8x-12+9 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{2x^{2}-5x-3}{2x+3}}{x+3-\frac{5}{2x+3}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+3 ni \frac{2x+3}{2x+3} marotabaga ko'paytirish.

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

\frac{\left(x+3\right)\left(2x+3\right)}{2x+3} va \frac{5}{2x+3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

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

$$\frac{\frac{2x^{2}-5x-3}{2x+3}}{\frac{2x^{2}+3x+6x+9-5}{2x+3}}$$

2x^{2}+3x+6x+9-5 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{2x^{2}-5x-3}{2x+3}}{\frac{2x^{2}+9x+4}{2x+3}}$$

\frac{2x^{2}-5x-3}{2x+3} ni \frac{2x^{2}+9x+4}{2x+3} ga bo'lish \frac{2x^{2}-5x-3}{2x+3} ga k'paytirish \frac{2x^{2}+9x+4}{2x+3} ga qaytarish.

$$\frac{\left(2x^{2}-5x-3\right)\left(2x+3\right)}{\left(2x+3\right)\left(2x^{2}+9x+4\right)}$$

Surat va maxrajdagi ikkala 2x+3 ni qisqartiring.

$$\frac{2x^{2}-5x-3}{2x^{2}+9x+4}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(x-3\right)\left(2x+1\right)}{\left(x+4\right)\left(2x+1\right)}$$

Surat va maxrajdagi ikkala 2x+1 ni qisqartiring.

$$\frac{x-3}{x+4}$$

Kengaytirish

$$\frac{x-3}{x+4}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-4 ni \frac{2x+3}{2x+3} marotabaga ko'paytirish.

$$\frac{\frac{\left(x-4\right)\left(2x+3\right)}{2x+3}+\frac{9}{2x+3}}{x+3-\frac{5}{2x+3}}$$

\frac{\left(x-4\right)\left(2x+3\right)}{2x+3} va \frac{9}{2x+3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{\left(x-4\right)\left(2x+3\right)+9}{2x+3}}{x+3-\frac{5}{2x+3}}$$

\left(x-4\right)\left(2x+3\right)+9 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{2x^{2}+3x-8x-12+9}{2x+3}}{x+3-\frac{5}{2x+3}}$$

2x^{2}+3x-8x-12+9 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{2x^{2}-5x-3}{2x+3}}{x+3-\frac{5}{2x+3}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+3 ni \frac{2x+3}{2x+3} marotabaga ko'paytirish.

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

\frac{\left(x+3\right)\left(2x+3\right)}{2x+3} va \frac{5}{2x+3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

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

$$\frac{\frac{2x^{2}-5x-3}{2x+3}}{\frac{2x^{2}+3x+6x+9-5}{2x+3}}$$

2x^{2}+3x+6x+9-5 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{2x^{2}-5x-3}{2x+3}}{\frac{2x^{2}+9x+4}{2x+3}}$$

\frac{2x^{2}-5x-3}{2x+3} ni \frac{2x^{2}+9x+4}{2x+3} ga bo'lish \frac{2x^{2}-5x-3}{2x+3} ga k'paytirish \frac{2x^{2}+9x+4}{2x+3} ga qaytarish.

$$\frac{\left(2x^{2}-5x-3\right)\left(2x+3\right)}{\left(2x+3\right)\left(2x^{2}+9x+4\right)}$$

Surat va maxrajdagi ikkala 2x+3 ni qisqartiring.

$$\frac{2x^{2}-5x-3}{2x^{2}+9x+4}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(x-3\right)\left(2x+1\right)}{\left(x+4\right)\left(2x+1\right)}$$

Surat va maxrajdagi ikkala 2x+1 ni qisqartiring.

$$\frac{x-3}{x+4}$$