8k^2/3+4k^2-44k^2-12/3+4k^2 eching

$$\frac { 8 k ^ { 2 } } { 3 + 4 k ^ { 2 } } - 4 \frac { 4 k ^ { 2 } - 12 } { 3 + 4 k ^ { 2 } }$$

Baholash

$$\frac{8\left(6-k^{2}\right)}{4k^{2}+3}$$

Qisqa yechim qadamlari

4\times \frac{4k^{2}-12}{3+4k^{2}} ni yagona kasrga aylantiring.

$$\frac{8k^{2}}{3+4k^{2}}-\frac{4\left(4k^{2}-12\right)}{3+4k^{2}}$$

4 ga 4k^{2}-12 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{8k^{2}}{3+4k^{2}}-\frac{16k^{2}-48}{3+4k^{2}}$$

\frac{8k^{2}}{3+4k^{2}} va \frac{16k^{2}-48}{3+4k^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{8k^{2}-\left(16k^{2}-48\right)}{3+4k^{2}}$$

8k^{2}-\left(16k^{2}-48\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{8k^{2}-16k^{2}+48}{3+4k^{2}}$$

8k^{2}-16k^{2}+48 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-8k^{2}+48}{3+4k^{2}}$$

Kengaytirish

$$-\frac{8\left(k^{2}-6\right)}{4k^{2}+3}$$

Qisqa yechim qadamlari

4\times \frac{4k^{2}-12}{3+4k^{2}} ni yagona kasrga aylantiring.

$$\frac{8k^{2}}{3+4k^{2}}-\frac{4\left(4k^{2}-12\right)}{3+4k^{2}}$$

4 ga 4k^{2}-12 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{8k^{2}}{3+4k^{2}}-\frac{16k^{2}-48}{3+4k^{2}}$$

\frac{8k^{2}}{3+4k^{2}} va \frac{16k^{2}-48}{3+4k^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{8k^{2}-\left(16k^{2}-48\right)}{3+4k^{2}}$$

8k^{2}-\left(16k^{2}-48\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{8k^{2}-16k^{2}+48}{3+4k^{2}}$$

8k^{2}-16k^{2}+48 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-8k^{2}+48}{3+4k^{2}}$$