4p/q-4q/p/frac{2{q}+2/p} eching

$$\frac { \frac { 4 p } { q } - \frac { 4 q } { p } } { \frac { 2 } { q } + \frac { 2 } { p } }$$

Baholash

$$2\left(p-q\right)$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. q va p ning eng kichik umumiy karralisi pq. \frac{4p}{q} ni \frac{p}{p} marotabaga ko'paytirish. \frac{4q}{p} ni \frac{q}{q} marotabaga ko'paytirish.

$$\frac{\frac{4pp}{pq}-\frac{4qq}{pq}}{\frac{2}{q}+\frac{2}{p}}$$

\frac{4pp}{pq} va \frac{4qq}{pq} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{4pp-4qq}{pq}}{\frac{2}{q}+\frac{2}{p}}$$

4pp-4qq ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{4p^{2}-4q^{2}}{pq}}{\frac{2}{q}+\frac{2}{p}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. q va p ning eng kichik umumiy karralisi pq. \frac{2}{q} ni \frac{p}{p} marotabaga ko'paytirish. \frac{2}{p} ni \frac{q}{q} marotabaga ko'paytirish.

$$\frac{\frac{4p^{2}-4q^{2}}{pq}}{\frac{2p}{pq}+\frac{2q}{pq}}$$

\frac{2p}{pq} va \frac{2q}{pq} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{4p^{2}-4q^{2}}{pq}}{\frac{2p+2q}{pq}}$$

\frac{4p^{2}-4q^{2}}{pq} ni \frac{2p+2q}{pq} ga bo'lish \frac{4p^{2}-4q^{2}}{pq} ga k'paytirish \frac{2p+2q}{pq} ga qaytarish.

$$\frac{\left(4p^{2}-4q^{2}\right)pq}{pq\left(2p+2q\right)}$$

Surat va maxrajdagi ikkala pq ni qisqartiring.

$$\frac{4p^{2}-4q^{2}}{2p+2q}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{4\left(p+q\right)\left(p-q\right)}{2\left(p+q\right)}$$

Surat va maxrajdagi ikkala 2\left(p+q\right) ni qisqartiring.

$$2\left(p-q\right)$$

Ifodani kengaytiring.

$$2p-2q$$

Kengaytirish

$$2p-2q$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. q va p ning eng kichik umumiy karralisi pq. \frac{4p}{q} ni \frac{p}{p} marotabaga ko'paytirish. \frac{4q}{p} ni \frac{q}{q} marotabaga ko'paytirish.

$$\frac{\frac{4pp}{pq}-\frac{4qq}{pq}}{\frac{2}{q}+\frac{2}{p}}$$

\frac{4pp}{pq} va \frac{4qq}{pq} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{4pp-4qq}{pq}}{\frac{2}{q}+\frac{2}{p}}$$

4pp-4qq ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{4p^{2}-4q^{2}}{pq}}{\frac{2}{q}+\frac{2}{p}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. q va p ning eng kichik umumiy karralisi pq. \frac{2}{q} ni \frac{p}{p} marotabaga ko'paytirish. \frac{2}{p} ni \frac{q}{q} marotabaga ko'paytirish.

$$\frac{\frac{4p^{2}-4q^{2}}{pq}}{\frac{2p}{pq}+\frac{2q}{pq}}$$

\frac{2p}{pq} va \frac{2q}{pq} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{4p^{2}-4q^{2}}{pq}}{\frac{2p+2q}{pq}}$$

\frac{4p^{2}-4q^{2}}{pq} ni \frac{2p+2q}{pq} ga bo'lish \frac{4p^{2}-4q^{2}}{pq} ga k'paytirish \frac{2p+2q}{pq} ga qaytarish.

$$\frac{\left(4p^{2}-4q^{2}\right)pq}{pq\left(2p+2q\right)}$$

Surat va maxrajdagi ikkala pq ni qisqartiring.

$$\frac{4p^{2}-4q^{2}}{2p+2q}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{4\left(p+q\right)\left(p-q\right)}{2\left(p+q\right)}$$

Surat va maxrajdagi ikkala 2\left(p+q\right) ni qisqartiring.

$$2\left(p-q\right)$$

Ifodani kengaytiring.

$$2p-2q$$