5y/4x+2x/3y-y^2/12xy eching

$$\frac { 5 y } { 4 x } + \frac { 2 x } { 3 y } - \frac { y ^ { 2 } } { 12 x y }$$

Baholash

$$\frac{4x^{2}+7y^{2}}{6xy}$$

Qisqa yechim qadamlari

Surat va maxrajdagi ikkala y ni qisqartiring.

$$\frac{5y}{4x}+\frac{2x}{3y}-\frac{y}{12x}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 4x va 3y ning eng kichik umumiy karralisi 12xy. \frac{5y}{4x} ni \frac{3y}{3y} marotabaga ko'paytirish. \frac{2x}{3y} ni \frac{4x}{4x} marotabaga ko'paytirish.

$$\frac{5y\times 3y}{12xy}+\frac{2x\times 4x}{12xy}-\frac{y}{12x}$$

\frac{5y\times 3y}{12xy} va \frac{2x\times 4x}{12xy} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5y\times 3y+2x\times 4x}{12xy}-\frac{y}{12x}$$

5y\times 3y+2x\times 4x ichidagi ko‘paytirishlarni bajaring.

$$\frac{15y^{2}+8x^{2}}{12xy}-\frac{y}{12x}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 12xy va 12x ning eng kichik umumiy karralisi 12xy. \frac{y}{12x} ni \frac{y}{y} marotabaga ko'paytirish.

$$\frac{15y^{2}+8x^{2}}{12xy}-\frac{yy}{12xy}$$

\frac{15y^{2}+8x^{2}}{12xy} va \frac{yy}{12xy} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{15y^{2}+8x^{2}-yy}{12xy}$$

15y^{2}+8x^{2}-yy ichidagi ko‘paytirishlarni bajaring.

$$\frac{15y^{2}+8x^{2}-y^{2}}{12xy}$$

15y^{2}+8x^{2}-y^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{14y^{2}+8x^{2}}{12xy}$$

\frac{14y^{2}+8x^{2}}{12xy} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2\left(4x^{2}+7y^{2}\right)}{12xy}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{4x^{2}+7y^{2}}{6xy}$$

Omil

$$\frac{4x^{2}+7y^{2}}{6xy}$$