x/2y^2+y/3x^2/frac{1{6xy}+2/x^2y} eching

$$\frac { \frac { x } { 2 y ^ { 2 } } + \frac { y } { 3 x ^ { 2 } } } { \frac { 1 } { 6 x y } + \frac { 2 } { x ^ { 2 } y } }$$

Baholash

$$\frac{3x^{3}+2y^{3}}{y\left(x+12\right)}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2y^{2} va 3x^{2} ning eng kichik umumiy karralisi 6x^{2}y^{2}. \frac{x}{2y^{2}} ni \frac{3x^{2}}{3x^{2}} marotabaga ko'paytirish. \frac{y}{3x^{2}} ni \frac{2y^{2}}{2y^{2}} marotabaga ko'paytirish.

$$\frac{\frac{x\times 3x^{2}}{6x^{2}y^{2}}+\frac{y\times 2y^{2}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

\frac{x\times 3x^{2}}{6x^{2}y^{2}} va \frac{y\times 2y^{2}}{6x^{2}y^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{x\times 3x^{2}+y\times 2y^{2}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

x\times 3x^{2}+y\times 2y^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 6xy va x^{2}y ning eng kichik umumiy karralisi 6yx^{2}. \frac{1}{6xy} ni \frac{x}{x} marotabaga ko'paytirish. \frac{2}{x^{2}y} ni \frac{6}{6} marotabaga ko'paytirish.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x}{6yx^{2}}+\frac{2\times 6}{6yx^{2}}}$$

\frac{x}{6yx^{2}} va \frac{2\times 6}{6yx^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x+2\times 6}{6yx^{2}}}$$

x+2\times 6 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x+12}{6yx^{2}}}$$

\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}} ni \frac{x+12}{6yx^{2}} ga bo'lish \frac{3x^{3}+2y^{3}}{6x^{2}y^{2}} ga k'paytirish \frac{x+12}{6yx^{2}} ga qaytarish.

$$\frac{\left(3x^{3}+2y^{3}\right)\times 6yx^{2}}{6x^{2}y^{2}\left(x+12\right)}$$

Surat va maxrajdagi ikkala 6yx^{2} ni qisqartiring.

$$\frac{3x^{3}+2y^{3}}{y\left(x+12\right)}$$

y ga x+12 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{3x^{3}+2y^{3}}{yx+12y}$$

Kengaytirish

$$\frac{3x^{3}+2y^{3}}{y\left(x+12\right)}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2y^{2} va 3x^{2} ning eng kichik umumiy karralisi 6x^{2}y^{2}. \frac{x}{2y^{2}} ni \frac{3x^{2}}{3x^{2}} marotabaga ko'paytirish. \frac{y}{3x^{2}} ni \frac{2y^{2}}{2y^{2}} marotabaga ko'paytirish.

$$\frac{\frac{x\times 3x^{2}}{6x^{2}y^{2}}+\frac{y\times 2y^{2}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

\frac{x\times 3x^{2}}{6x^{2}y^{2}} va \frac{y\times 2y^{2}}{6x^{2}y^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{x\times 3x^{2}+y\times 2y^{2}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

x\times 3x^{2}+y\times 2y^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 6xy va x^{2}y ning eng kichik umumiy karralisi 6yx^{2}. \frac{1}{6xy} ni \frac{x}{x} marotabaga ko'paytirish. \frac{2}{x^{2}y} ni \frac{6}{6} marotabaga ko'paytirish.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x}{6yx^{2}}+\frac{2\times 6}{6yx^{2}}}$$

\frac{x}{6yx^{2}} va \frac{2\times 6}{6yx^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x+2\times 6}{6yx^{2}}}$$

x+2\times 6 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x+12}{6yx^{2}}}$$

\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}} ni \frac{x+12}{6yx^{2}} ga bo'lish \frac{3x^{3}+2y^{3}}{6x^{2}y^{2}} ga k'paytirish \frac{x+12}{6yx^{2}} ga qaytarish.

$$\frac{\left(3x^{3}+2y^{3}\right)\times 6yx^{2}}{6x^{2}y^{2}\left(x+12\right)}$$

Surat va maxrajdagi ikkala 6yx^{2} ni qisqartiring.

$$\frac{3x^{3}+2y^{3}}{y\left(x+12\right)}$$

y ga x+12 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{3x^{3}+2y^{3}}{yx+12y}$$