8p^2+4p/4p^2-1div2p+1 eching

$$\frac { 8 p ^ { 2 } + 4 p } { 4 p ^ { 2 } - 1 } \div 2 p + 1$$

Baholash

$$\frac{2p^{2}+2p-1}{2p-1}$$

Qisqa yechim qadamlari

\frac{\frac{8p^{2}+4p}{4p^{2}-1}}{2} ni yagona kasrga aylantiring.

$$\frac{8p^{2}+4p}{\left(4p^{2}-1\right)\times 2}p+1$$

\frac{8p^{2}+4p}{\left(4p^{2}-1\right)\times 2} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{4p\left(2p+1\right)}{2\left(2p-1\right)\left(2p+1\right)}p+1$$

Surat va maxrajdagi ikkala 2\left(2p+1\right) ni qisqartiring.

$$\frac{2p}{2p-1}p+1$$

\frac{2p}{2p-1}p ni yagona kasrga aylantiring.

$$\frac{2pp}{2p-1}+1$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{2p-1}{2p-1} marotabaga ko'paytirish.

$$\frac{2pp}{2p-1}+\frac{2p-1}{2p-1}$$

\frac{2pp}{2p-1} va \frac{2p-1}{2p-1} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2pp+2p-1}{2p-1}$$

2pp+2p-1 ichidagi ko‘paytirishlarni bajaring.

$$\frac{2p^{2}+2p-1}{2p-1}$$

Kengaytirish

$$\frac{2p^{2}+2p-1}{2p-1}$$

Qisqa yechim qadamlari

\frac{\frac{8p^{2}+4p}{4p^{2}-1}}{2} ni yagona kasrga aylantiring.

$$\frac{8p^{2}+4p}{\left(4p^{2}-1\right)\times 2}p+1$$

\frac{8p^{2}+4p}{\left(4p^{2}-1\right)\times 2} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{4p\left(2p+1\right)}{2\left(2p-1\right)\left(2p+1\right)}p+1$$

Surat va maxrajdagi ikkala 2\left(2p+1\right) ni qisqartiring.

$$\frac{2p}{2p-1}p+1$$

\frac{2p}{2p-1}p ni yagona kasrga aylantiring.

$$\frac{2pp}{2p-1}+1$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{2p-1}{2p-1} marotabaga ko'paytirish.

$$\frac{2pp}{2p-1}+\frac{2p-1}{2p-1}$$

\frac{2pp}{2p-1} va \frac{2p-1}{2p-1} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2pp+2p-1}{2p-1}$$

2pp+2p-1 ichidagi ko‘paytirishlarni bajaring.

$$\frac{2p^{2}+2p-1}{2p-1}$$