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

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

Baholash

$$-\frac{3x^{2}}{2}+\frac{19x}{2}-12$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{2}{2} marotabaga ko'paytirish.

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

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

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

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

$$\frac{2-3x^{2}+9x+6x-18}{2}+2\left(x-2\right)$$

2-3x^{2}+9x+6x-18 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-16-3x^{2}+15x}{2}+2\left(x-2\right)$$

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

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

-3 olish uchun 1 dan 4 ni ayirish.

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

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

$$-3+2x-\frac{\left(3x-6\right)\left(x-3\right)}{2}$$

3x-6 ifodaning har bir elementini x-3 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$-3+2x-\frac{3x^{2}-9x-6x+18}{2}$$

-15x ni olish uchun -9x va -6x ni birlashtirish.

$$-3+2x-\frac{3x^{2}-15x+18}{2}$$

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

$$\frac{2\left(-3+2x\right)}{2}-\frac{3x^{2}-15x+18}{2}$$

\frac{2\left(-3+2x\right)}{2} va \frac{3x^{2}-15x+18}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2\left(-3+2x\right)-\left(3x^{2}-15x+18\right)}{2}$$

2\left(-3+2x\right)-\left(3x^{2}-15x+18\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{-6+4x-3x^{2}+15x-18}{2}$$

-6+4x-3x^{2}+15x-18 kabi iboralarga o‘xshab birlashtiring.

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

Kengaytirish

$$-\frac{3x^{2}}{2}+\frac{19x}{2}-12$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{2}{2} marotabaga ko'paytirish.

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

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

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

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

$$\frac{2-3x^{2}+9x+6x-18}{2}+2\left(x-2\right)$$

2-3x^{2}+9x+6x-18 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-16-3x^{2}+15x}{2}+2\left(x-2\right)$$

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

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

-3 olish uchun 1 dan 4 ni ayirish.

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

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

$$-3+2x-\frac{\left(3x-6\right)\left(x-3\right)}{2}$$

3x-6 ifodaning har bir elementini x-3 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$-3+2x-\frac{3x^{2}-9x-6x+18}{2}$$

-15x ni olish uchun -9x va -6x ni birlashtirish.

$$-3+2x-\frac{3x^{2}-15x+18}{2}$$

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

$$\frac{2\left(-3+2x\right)}{2}-\frac{3x^{2}-15x+18}{2}$$

\frac{2\left(-3+2x\right)}{2} va \frac{3x^{2}-15x+18}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2\left(-3+2x\right)-\left(3x^{2}-15x+18\right)}{2}$$

2\left(-3+2x\right)-\left(3x^{2}-15x+18\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{-6+4x-3x^{2}+15x-18}{2}$$

-6+4x-3x^{2}+15x-18 kabi iboralarga o‘xshab birlashtiring.

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