4x-3/2x+1-10(2x-1/4x-3) eching

$$\frac { 4 x - 3 } { 2 x + 1 } - 10 ( \frac { 2 x - 1 } { 4 x - 3 } )$$

Baholash

$$-\frac{24x^{2}+24x-19}{\left(4x-3\right)\left(2x+1\right)}$$

Qisqa yechim qadamlari

10\times \frac{2x-1}{4x-3} ni yagona kasrga aylantiring.

$$\frac{4x-3}{2x+1}-\frac{10\left(2x-1\right)}{4x-3}$$

10 ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{4x-3}{2x+1}-\frac{20x-10}{4x-3}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2x+1 va 4x-3 ning eng kichik umumiy karralisi \left(4x-3\right)\left(2x+1\right). \frac{4x-3}{2x+1} ni \frac{4x-3}{4x-3} marotabaga ko'paytirish. \frac{20x-10}{4x-3} ni \frac{2x+1}{2x+1} marotabaga ko'paytirish.

$$\frac{\left(4x-3\right)\left(4x-3\right)}{\left(4x-3\right)\left(2x+1\right)}-\frac{\left(20x-10\right)\left(2x+1\right)}{\left(4x-3\right)\left(2x+1\right)}$$

\frac{\left(4x-3\right)\left(4x-3\right)}{\left(4x-3\right)\left(2x+1\right)} va \frac{\left(20x-10\right)\left(2x+1\right)}{\left(4x-3\right)\left(2x+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\left(4x-3\right)\left(4x-3\right)-\left(20x-10\right)\left(2x+1\right)}{\left(4x-3\right)\left(2x+1\right)}$$

\left(4x-3\right)\left(4x-3\right)-\left(20x-10\right)\left(2x+1\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{16x^{2}-12x-12x+9-40x^{2}-20x+20x+10}{\left(4x-3\right)\left(2x+1\right)}$$

16x^{2}-12x-12x+9-40x^{2}-20x+20x+10 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-24x^{2}-24x+19}{\left(4x-3\right)\left(2x+1\right)}$$

\left(4x-3\right)\left(2x+1\right) ni kengaytirish.

$$\frac{-24x^{2}-24x+19}{8x^{2}-2x-3}$$

Kengaytirish

$$\frac{19-24x-24x^{2}}{\left(4x-3\right)\left(2x+1\right)}$$

Qisqa yechim qadamlari

10\times \frac{2x-1}{4x-3} ni yagona kasrga aylantiring.

$$\frac{4x-3}{2x+1}-\frac{10\left(2x-1\right)}{4x-3}$$

10 ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{4x-3}{2x+1}-\frac{20x-10}{4x-3}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2x+1 va 4x-3 ning eng kichik umumiy karralisi \left(4x-3\right)\left(2x+1\right). \frac{4x-3}{2x+1} ni \frac{4x-3}{4x-3} marotabaga ko'paytirish. \frac{20x-10}{4x-3} ni \frac{2x+1}{2x+1} marotabaga ko'paytirish.

$$\frac{\left(4x-3\right)\left(4x-3\right)}{\left(4x-3\right)\left(2x+1\right)}-\frac{\left(20x-10\right)\left(2x+1\right)}{\left(4x-3\right)\left(2x+1\right)}$$

\frac{\left(4x-3\right)\left(4x-3\right)}{\left(4x-3\right)\left(2x+1\right)} va \frac{\left(20x-10\right)\left(2x+1\right)}{\left(4x-3\right)\left(2x+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\left(4x-3\right)\left(4x-3\right)-\left(20x-10\right)\left(2x+1\right)}{\left(4x-3\right)\left(2x+1\right)}$$

\left(4x-3\right)\left(4x-3\right)-\left(20x-10\right)\left(2x+1\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{16x^{2}-12x-12x+9-40x^{2}-20x+20x+10}{\left(4x-3\right)\left(2x+1\right)}$$

16x^{2}-12x-12x+9-40x^{2}-20x+20x+10 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-24x^{2}-24x+19}{\left(4x-3\right)\left(2x+1\right)}$$

\left(4x-3\right)\left(2x+1\right) ni kengaytirish.

$$\frac{-24x^{2}-24x+19}{8x^{2}-2x-3}$$