2/p-q-3/2p+q eching

$$\frac { 2 } { p - q } - \frac { 3 } { 2 p + q }$$

Baholash

$$\frac{p+5q}{\left(p-q\right)\left(2p+q\right)}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. p-q va 2p+q ning eng kichik umumiy karralisi \left(p-q\right)\left(2p+q\right). \frac{2}{p-q} ni \frac{2p+q}{2p+q} marotabaga ko'paytirish. \frac{3}{2p+q} ni \frac{p-q}{p-q} marotabaga ko'paytirish.

$$\frac{2\left(2p+q\right)}{\left(p-q\right)\left(2p+q\right)}-\frac{3\left(p-q\right)}{\left(p-q\right)\left(2p+q\right)}$$

\frac{2\left(2p+q\right)}{\left(p-q\right)\left(2p+q\right)} va \frac{3\left(p-q\right)}{\left(p-q\right)\left(2p+q\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2\left(2p+q\right)-3\left(p-q\right)}{\left(p-q\right)\left(2p+q\right)}$$

2\left(2p+q\right)-3\left(p-q\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{4p+2q-3p+3q}{\left(p-q\right)\left(2p+q\right)}$$

4p+2q-3p+3q kabi iboralarga o‘xshab birlashtiring.

$$\frac{p+5q}{\left(p-q\right)\left(2p+q\right)}$$

\left(p-q\right)\left(2p+q\right) ni kengaytirish.

$$\frac{p+5q}{2p^{2}-pq-q^{2}}$$

p ga nisbatan hosilani topish

$$\frac{2\left(2q^{2}-10pq-p^{2}\right)}{\left(\left(p-q\right)\left(2p+q\right)\right)^{2}}$$