1/m-n-1/m+n:2/3m-3n eching

$$\frac { 1 } { m - n } - \frac { 1 } { m + n } : \frac { 2 } { 3 m - 3 n }$$

Baholash

$$\frac{2n-3n^{2}+2m+6mn-3m^{2}}{2\left(m^{2}-n^{2}\right)}$$

Qisqa yechim qadamlari

\frac{1}{m+n} ni \frac{2}{3m-3n} ga bo'lish \frac{1}{m+n} ga k'paytirish \frac{2}{3m-3n} ga qaytarish.

$$\frac{1}{m-n}-\frac{3m-3n}{\left(m+n\right)\times 2}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. m-n va \left(m+n\right)\times 2 ning eng kichik umumiy karralisi 2\left(m+n\right)\left(m-n\right). \frac{1}{m-n} ni \frac{2\left(m+n\right)}{2\left(m+n\right)} marotabaga ko'paytirish. \frac{3m-3n}{\left(m+n\right)\times 2} ni \frac{m-n}{m-n} marotabaga ko'paytirish.

$$\frac{2\left(m+n\right)}{2\left(m+n\right)\left(m-n\right)}-\frac{\left(3m-3n\right)\left(m-n\right)}{2\left(m+n\right)\left(m-n\right)}$$

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

$$\frac{2\left(m+n\right)-\left(3m-3n\right)\left(m-n\right)}{2\left(m+n\right)\left(m-n\right)}$$

2\left(m+n\right)-\left(3m-3n\right)\left(m-n\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{2m+2n-3m^{2}+3mn+3nm-3n^{2}}{2\left(m+n\right)\left(m-n\right)}$$

2m+2n-3m^{2}+3mn+3nm-3n^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{2m+2n-3m^{2}-3n^{2}+6mn}{2\left(m+n\right)\left(m-n\right)}$$

2\left(m+n\right)\left(m-n\right) ni kengaytirish.

$$\frac{2m+2n-3m^{2}-3n^{2}+6mn}{2m^{2}-2n^{2}}$$

Omil

$$\frac{2n-3n^{2}+2m+6mn-3m^{2}}{2\left(m-n\right)\left(m+n\right)}$$