(3-3/4t)(4-t)1/2 eching

$$( 3 - \frac { 3 } { 4 } t ) ( 4 - t ) \frac { 1 } { 2 }$$

Baholash

$$\frac{3\left(4-t\right)^{2}}{8}$$

Yechim qadamlari

3-\frac{3}{4}t ifodaning har bir elementini 4-t ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$\left(12-3t-\frac{3}{4}t\times 4-\frac{3}{4}t\left(-1\right)t\right)\times \frac{1}{2}$$

t^{2} hosil qilish uchun t va t ni ko'paytirish.

$$\left(12-3t-\frac{3}{4}t\times 4-\frac{3}{4}t^{2}\left(-1\right)\right)\times \frac{1}{2}$$

4 va 4 ni qisqartiring.

$$\left(12-3t-3t-\frac{3}{4}t^{2}\left(-1\right)\right)\times \frac{1}{2}$$

-6t ni olish uchun -3t va -3t ni birlashtirish.

$$\left(12-6t-\frac{3}{4}t^{2}\left(-1\right)\right)\times \frac{1}{2}$$

\frac{3}{4} hosil qilish uchun -\frac{3}{4} va -1 ni ko'paytirish.

$$\left(12-6t+\frac{3}{4}t^{2}\right)\times \frac{1}{2}$$

12-6t+\frac{3}{4}t^{2} ga \frac{1}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12\times \frac{1}{2}-6t\times \frac{1}{2}+\frac{3}{4}t^{2}\times \frac{1}{2}$$

\frac{12}{2} hosil qilish uchun 12 va \frac{1}{2} ni ko'paytirish.

$$\frac{12}{2}-6t\times \frac{1}{2}+\frac{3}{4}t^{2}\times \frac{1}{2}$$

6 ni olish uchun 12 ni 2 ga bo‘ling.

$$6-6t\times \frac{1}{2}+\frac{3}{4}t^{2}\times \frac{1}{2}$$

\frac{-6}{2} hosil qilish uchun -6 va \frac{1}{2} ni ko'paytirish.

$$6+\frac{-6}{2}t+\frac{3}{4}t^{2}\times \frac{1}{2}$$

-3 ni olish uchun -6 ni 2 ga bo‘ling.

$$6-3t+\frac{3}{4}t^{2}\times \frac{1}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni \frac{1}{2} ga ko‘paytiring.

$$6-3t+\frac{3\times 1}{4\times 2}t^{2}$$

\frac{3\times 1}{4\times 2} kasridagi ko‘paytirishlarni bajaring.

$$6-3t+\frac{3}{8}t^{2}$$

Kengaytirish

$$\frac{3t^{2}}{8}-3t+6$$

Yechim qadamlari

3-\frac{3}{4}t ifodaning har bir elementini 4-t ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$\left(12-3t-\frac{3}{4}t\times 4-\frac{3}{4}t\left(-1\right)t\right)\times \frac{1}{2}$$

t^{2} hosil qilish uchun t va t ni ko'paytirish.

$$\left(12-3t-\frac{3}{4}t\times 4-\frac{3}{4}t^{2}\left(-1\right)\right)\times \frac{1}{2}$$

4 va 4 ni qisqartiring.

$$\left(12-3t-3t-\frac{3}{4}t^{2}\left(-1\right)\right)\times \frac{1}{2}$$

-6t ni olish uchun -3t va -3t ni birlashtirish.

$$\left(12-6t-\frac{3}{4}t^{2}\left(-1\right)\right)\times \frac{1}{2}$$

\frac{3}{4} hosil qilish uchun -\frac{3}{4} va -1 ni ko'paytirish.

$$\left(12-6t+\frac{3}{4}t^{2}\right)\times \frac{1}{2}$$

12-6t+\frac{3}{4}t^{2} ga \frac{1}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12\times \frac{1}{2}-6t\times \frac{1}{2}+\frac{3}{4}t^{2}\times \frac{1}{2}$$

\frac{12}{2} hosil qilish uchun 12 va \frac{1}{2} ni ko'paytirish.

$$\frac{12}{2}-6t\times \frac{1}{2}+\frac{3}{4}t^{2}\times \frac{1}{2}$$

6 ni olish uchun 12 ni 2 ga bo‘ling.

$$6-6t\times \frac{1}{2}+\frac{3}{4}t^{2}\times \frac{1}{2}$$

\frac{-6}{2} hosil qilish uchun -6 va \frac{1}{2} ni ko'paytirish.

$$6+\frac{-6}{2}t+\frac{3}{4}t^{2}\times \frac{1}{2}$$

-3 ni olish uchun -6 ni 2 ga bo‘ling.

$$6-3t+\frac{3}{4}t^{2}\times \frac{1}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni \frac{1}{2} ga ko‘paytiring.

$$6-3t+\frac{3\times 1}{4\times 2}t^{2}$$

\frac{3\times 1}{4\times 2} kasridagi ko‘paytirishlarni bajaring.

$$6-3t+\frac{3}{8}t^{2}$$