2*4/4^2+35/2-2x-2/-2^2+35/2 eching

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

Baholash

$$5x-\frac{75}{19}$$

Yechim qadamlari

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\frac{8}{4^{2}+3}\times \frac{5}{2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{8}{16+3}\times \frac{5}{2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

19 olish uchun 16 va 3'ni qo'shing.

$$\frac{8}{19}\times \frac{5}{2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{8}{19} ni \frac{5}{2} ga ko‘paytiring.

$$\frac{8\times 5}{19\times 2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

\frac{8\times 5}{19\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{40}{38}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

\frac{40}{38} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{20}{19}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{20}{19}-\frac{2x-2}{-4+3}\times \frac{5}{2}$$

-1 olish uchun -4 va 3'ni qo'shing.

$$\frac{20}{19}-\frac{2x-2}{-1}\times \frac{5}{2}$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi. 2x-2 teskarisini topish uchun har birining teskarisini toping.

$$\frac{20}{19}-\left(-2x-\left(-2\right)\right)\times \frac{5}{2}$$

-2x-\left(-2\right) ga \frac{5}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{20}{19}-\left(-2x\times \frac{5}{2}+\left(-\left(-2\right)\right)\times \frac{5}{2}\right)$$

-2 ni \frac{5}{2} marotabaga ko'paytirish.

$$\frac{20}{19}-\left(-5x+\left(-\left(-2\right)\right)\times \frac{5}{2}\right)$$

-2 ning teskarisi 2 ga teng.

$$\frac{20}{19}-\left(-5x+2\times \frac{5}{2}\right)$$

2 va 2 ni qisqartiring.

$$\frac{20}{19}-\left(-5x+5\right)$$

-5x+5 teskarisini topish uchun har birining teskarisini toping.

$$\frac{20}{19}-\left(-5x\right)-5$$

-5x ning teskarisi 5x ga teng.

$$\frac{20}{19}+5x-5$$

5 ni \frac{95}{19} kasrga o‘giring.

$$\frac{20}{19}+5x-\frac{95}{19}$$

\frac{20}{19} va \frac{95}{19} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{20-95}{19}+5x$$

-75 olish uchun 20 dan 95 ni ayirish.

$$-\frac{75}{19}+5x$$

Kengaytirish

$$5x-\frac{75}{19}$$

Yechim qadamlari

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\frac{8}{4^{2}+3}\times \frac{5}{2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{8}{16+3}\times \frac{5}{2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

19 olish uchun 16 va 3'ni qo'shing.

$$\frac{8}{19}\times \frac{5}{2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{8}{19} ni \frac{5}{2} ga ko‘paytiring.

$$\frac{8\times 5}{19\times 2}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

\frac{8\times 5}{19\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{40}{38}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

\frac{40}{38} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{20}{19}-\frac{2x-2}{-2^{2}+3}\times \frac{5}{2}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{20}{19}-\frac{2x-2}{-4+3}\times \frac{5}{2}$$

-1 olish uchun -4 va 3'ni qo'shing.

$$\frac{20}{19}-\frac{2x-2}{-1}\times \frac{5}{2}$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi. 2x-2 teskarisini topish uchun har birining teskarisini toping.

$$\frac{20}{19}-\left(-2x-\left(-2\right)\right)\times \frac{5}{2}$$

-2x-\left(-2\right) ga \frac{5}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{20}{19}-\left(-2x\times \frac{5}{2}+\left(-\left(-2\right)\right)\times \frac{5}{2}\right)$$

-2 ni \frac{5}{2} marotabaga ko'paytirish.

$$\frac{20}{19}-\left(-5x+\left(-\left(-2\right)\right)\times \frac{5}{2}\right)$$

-2 ning teskarisi 2 ga teng.

$$\frac{20}{19}-\left(-5x+2\times \frac{5}{2}\right)$$

2 va 2 ni qisqartiring.

$$\frac{20}{19}-\left(-5x+5\right)$$

-5x+5 teskarisini topish uchun har birining teskarisini toping.

$$\frac{20}{19}-\left(-5x\right)-5$$

-5x ning teskarisi 5x ga teng.

$$\frac{20}{19}+5x-5$$

5 ni \frac{95}{19} kasrga o‘giring.

$$\frac{20}{19}+5x-\frac{95}{19}$$

\frac{20}{19} va \frac{95}{19} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{20-95}{19}+5x$$

-75 olish uchun 20 dan 95 ni ayirish.

$$-\frac{75}{19}+5x$$