17/16k^4+49/64k^2+1/8/k^2+frac{1{4}} eching

$$\frac { \frac { 17 } { 16 } k ^ { 4 } + \frac { 49 } { 64 } k ^ { 2 } + \frac { 1 } { 8 } } { k ^ { 2 } + \frac { 1 } { 4 } }$$

Baholash

$$\frac{17k^{2}}{16}+\frac{1}{2}$$

Qisqa yechim qadamlari

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\frac{1}{64}\left(4k^{2}+1\right)\left(17k^{2}+8\right)}{\frac{1}{4}\left(4k^{2}+1\right)}$$

Surat va maxrajdagi ikkala 4k^{2}+1 ni qisqartiring.

$$\frac{\frac{1}{64}\left(17k^{2}+8\right)}{\frac{1}{4}}$$

Ifodani kengaytiring.

$$\frac{\frac{17}{64}k^{2}+\frac{1}{8}}{\frac{1}{4}}$$

\frac{17}{64}k^{2}+\frac{1}{8} ni \frac{1}{4} ga bo'lish \frac{17}{64}k^{2}+\frac{1}{8} ga k'paytirish \frac{1}{4} ga qaytarish.

$$\left(\frac{17}{64}k^{2}+\frac{1}{8}\right)\times 4$$

\frac{17}{64}k^{2}+\frac{1}{8} ga 4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{17}{16}k^{2}+\frac{1}{2}$$

Kengaytirish

$$\frac{17k^{2}}{16}+\frac{1}{2}$$

Qisqa yechim qadamlari

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\frac{1}{64}\left(4k^{2}+1\right)\left(17k^{2}+8\right)}{\frac{1}{4}\left(4k^{2}+1\right)}$$

Surat va maxrajdagi ikkala 4k^{2}+1 ni qisqartiring.

$$\frac{\frac{1}{64}\left(17k^{2}+8\right)}{\frac{1}{4}}$$

Ifodani kengaytiring.

$$\frac{\frac{17}{64}k^{2}+\frac{1}{8}}{\frac{1}{4}}$$

\frac{17}{64}k^{2}+\frac{1}{8} ni \frac{1}{4} ga bo'lish \frac{17}{64}k^{2}+\frac{1}{8} ga k'paytirish \frac{1}{4} ga qaytarish.

$$\left(\frac{17}{64}k^{2}+\frac{1}{8}\right)\times 4$$

\frac{17}{64}k^{2}+\frac{1}{8} ga 4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{17}{16}k^{2}+\frac{1}{2}$$