[(xy)^{2}*x-2x^{3}y^{2}]:(-x^{2})+[2x^{2}y^{3}+(-3x^{4}y^{5}):(-1/2xy)^2]:[(-3x^3y^3):(2xy)^2+2xy] eching

$$[ ( x y ) ^ { 2 } \cdot x - 2 x ^ { 3 } y ^ { 2 } ] : ( - x ^ { 2 } ) + [ 2 x ^ { 2 } y ^ { 3 } + ( - 3 x ^ { 4 } y ^ { 5 } ) : ( - \frac { 1 } { 2 } x y ) ^ { 2 } ] : [ ( - 3 x ^ { 3 } y ^ { 3 } ) : ( 2 x y ) ^ { 2 } + 2 x y ]$$

Baholash

$$-7xy^{2}$$

Qisqa yechim qadamlari

\left(xy\right)^{2} ni kengaytirish.

$$\frac{x^{2}y^{2}x-2x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}+\frac{-3x^{4}y^{5}}{\left(-\frac{1}{2}xy\right)^{2}}}{\frac{-3x^{3}y^{3}}{\left(2xy\right)^{2}}+2xy}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{x^{3}y^{2}-2x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}+\frac{-3x^{4}y^{5}}{\left(-\frac{1}{2}xy\right)^{2}}}{\frac{-3x^{3}y^{3}}{\left(2xy\right)^{2}}+2xy}$$

-x^{3}y^{2} ni olish uchun x^{3}y^{2} va -2x^{3}y^{2} ni birlashtirish.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}+\frac{-3x^{4}y^{5}}{\left(-\frac{1}{2}xy\right)^{2}}}{\frac{-3x^{3}y^{3}}{\left(2xy\right)^{2}}+2xy}$$

\left(-\frac{1}{2}xy\right)^{2} ni kengaytirish.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}+\frac{-3x^{4}y^{5}}{\left(-\frac{1}{2}\right)^{2}x^{2}y^{2}}}{\frac{-3x^{3}y^{3}}{\left(2xy\right)^{2}}+2xy}$$

2 daraja ko‘rsatkichini -\frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}+\frac{-3x^{4}y^{5}}{\frac{1}{4}x^{2}y^{2}}}{\frac{-3x^{3}y^{3}}{\left(2xy\right)^{2}}+2xy}$$

Surat va maxrajdagi ikkala x^{2}y^{2} ni qisqartiring.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}+\frac{-3x^{2}y^{3}}{\frac{1}{4}}}{\frac{-3x^{3}y^{3}}{\left(2xy\right)^{2}}+2xy}$$

-3x^{2}y^{3} ni \frac{1}{4} ga bo'lish -3x^{2}y^{3} ga k'paytirish \frac{1}{4} ga qaytarish.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}-3x^{2}y^{3}\times 4}{\frac{-3x^{3}y^{3}}{\left(2xy\right)^{2}}+2xy}$$

\left(2xy\right)^{2} ni kengaytirish.

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

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

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

Surat va maxrajdagi ikkala x^{2}y^{2} ni qisqartiring.

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

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2xy ni \frac{4}{4} marotabaga ko'paytirish.

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

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

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

-3xy+4\times 2xy ichidagi ko‘paytirishlarni bajaring.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}-3x^{2}y^{3}\times 4}{\frac{-3xy+8xy}{4}}$$

-3xy+8xy kabi iboralarga o‘xshab birlashtiring.

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

-12 hosil qilish uchun -3 va 4 ni ko'paytirish.

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

-10x^{2}y^{3} ni olish uchun 2x^{2}y^{3} va -12x^{2}y^{3} ni birlashtirish.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{-10x^{2}y^{3}}{\frac{5xy}{4}}$$

-10x^{2}y^{3} ni \frac{5xy}{4} ga bo'lish -10x^{2}y^{3} ga k'paytirish \frac{5xy}{4} ga qaytarish.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{-10x^{2}y^{3}\times 4}{5xy}$$

Surat va maxrajdagi ikkala 5xy ni qisqartiring.

$$\frac{-x^{3}y^{2}}{-x^{2}}-2\times 4xy^{2}$$

-8 hosil qilish uchun -2 va 4 ni ko'paytirish.

$$\frac{-x^{3}y^{2}}{-x^{2}}-8xy^{2}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -8xy^{2} ni \frac{-x^{2}}{-x^{2}} marotabaga ko'paytirish.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{-8xy^{2}\left(-1\right)x^{2}}{-x^{2}}$$

\frac{-x^{3}y^{2}}{-x^{2}} va \frac{-8xy^{2}\left(-1\right)x^{2}}{-x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-x^{3}y^{2}-8xy^{2}\left(-1\right)x^{2}}{-x^{2}}$$

-x^{3}y^{2}-8xy^{2}\left(-1\right)x^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{-x^{3}y^{2}+8x^{3}y^{2}}{-x^{2}}$$

-x^{3}y^{2}+8x^{3}y^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{7x^{3}y^{2}}{-x^{2}}$$

Surat va maxrajdagi ikkala x^{2} ni qisqartiring.

$$\frac{7xy^{2}}{-1}$$

Kengaytirish

$$-7xy^{2}$$

Qisqa yechim qadamlari

\left(xy\right)^{2} ni kengaytirish.

$$\frac{x^{2}y^{2}x-2x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}+\frac{-3x^{4}y^{5}}{\left(-\frac{1}{2}xy\right)^{2}}}{\frac{-3x^{3}y^{3}}{\left(2xy\right)^{2}}+2xy}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{x^{3}y^{2}-2x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}+\frac{-3x^{4}y^{5}}{\left(-\frac{1}{2}xy\right)^{2}}}{\frac{-3x^{3}y^{3}}{\left(2xy\right)^{2}}+2xy}$$

-x^{3}y^{2} ni olish uchun x^{3}y^{2} va -2x^{3}y^{2} ni birlashtirish.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}+\frac{-3x^{4}y^{5}}{\left(-\frac{1}{2}xy\right)^{2}}}{\frac{-3x^{3}y^{3}}{\left(2xy\right)^{2}}+2xy}$$

\left(-\frac{1}{2}xy\right)^{2} ni kengaytirish.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}+\frac{-3x^{4}y^{5}}{\left(-\frac{1}{2}\right)^{2}x^{2}y^{2}}}{\frac{-3x^{3}y^{3}}{\left(2xy\right)^{2}}+2xy}$$

2 daraja ko‘rsatkichini -\frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}+\frac{-3x^{4}y^{5}}{\frac{1}{4}x^{2}y^{2}}}{\frac{-3x^{3}y^{3}}{\left(2xy\right)^{2}}+2xy}$$

Surat va maxrajdagi ikkala x^{2}y^{2} ni qisqartiring.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}+\frac{-3x^{2}y^{3}}{\frac{1}{4}}}{\frac{-3x^{3}y^{3}}{\left(2xy\right)^{2}}+2xy}$$

-3x^{2}y^{3} ni \frac{1}{4} ga bo'lish -3x^{2}y^{3} ga k'paytirish \frac{1}{4} ga qaytarish.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}-3x^{2}y^{3}\times 4}{\frac{-3x^{3}y^{3}}{\left(2xy\right)^{2}}+2xy}$$

\left(2xy\right)^{2} ni kengaytirish.

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

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

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

Surat va maxrajdagi ikkala x^{2}y^{2} ni qisqartiring.

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

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2xy ni \frac{4}{4} marotabaga ko'paytirish.

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

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

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

-3xy+4\times 2xy ichidagi ko‘paytirishlarni bajaring.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{2x^{2}y^{3}-3x^{2}y^{3}\times 4}{\frac{-3xy+8xy}{4}}$$

-3xy+8xy kabi iboralarga o‘xshab birlashtiring.

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

-12 hosil qilish uchun -3 va 4 ni ko'paytirish.

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

-10x^{2}y^{3} ni olish uchun 2x^{2}y^{3} va -12x^{2}y^{3} ni birlashtirish.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{-10x^{2}y^{3}}{\frac{5xy}{4}}$$

-10x^{2}y^{3} ni \frac{5xy}{4} ga bo'lish -10x^{2}y^{3} ga k'paytirish \frac{5xy}{4} ga qaytarish.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{-10x^{2}y^{3}\times 4}{5xy}$$

Surat va maxrajdagi ikkala 5xy ni qisqartiring.

$$\frac{-x^{3}y^{2}}{-x^{2}}-2\times 4xy^{2}$$

-8 hosil qilish uchun -2 va 4 ni ko'paytirish.

$$\frac{-x^{3}y^{2}}{-x^{2}}-8xy^{2}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -8xy^{2} ni \frac{-x^{2}}{-x^{2}} marotabaga ko'paytirish.

$$\frac{-x^{3}y^{2}}{-x^{2}}+\frac{-8xy^{2}\left(-1\right)x^{2}}{-x^{2}}$$

\frac{-x^{3}y^{2}}{-x^{2}} va \frac{-8xy^{2}\left(-1\right)x^{2}}{-x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-x^{3}y^{2}-8xy^{2}\left(-1\right)x^{2}}{-x^{2}}$$

-x^{3}y^{2}-8xy^{2}\left(-1\right)x^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{-x^{3}y^{2}+8x^{3}y^{2}}{-x^{2}}$$

-x^{3}y^{2}+8x^{3}y^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{7x^{3}y^{2}}{-x^{2}}$$

Surat va maxrajdagi ikkala x^{2} ni qisqartiring.

$$\frac{7xy^{2}}{-1}$$