{-5[9x^{6}y^{2}:(3x^{3}y)-3x^{3}y+9x^{2}y:(9xy)]^2+5x^2}^3+(4xy)^2:(-4xy) eching

$$\{ - 5 [ 9 x ^ { 6 } y ^ { 2 } : ( 3 x ^ { 3 } y ) - 3 x ^ { 3 } y + 9 x ^ { 2 } y : ( 9 x y ) ] ^ { 2 } + 5 x ^ { 2 } \} ^ { 3 } + ( 4 x y ) ^ { 2 } : ( - 4 x y )$$

Baholash

$$-4xy$$

Yechim qadamlari

Surat va maxrajdagi ikkala 3yx^{3} ni qisqartiring.

$$\left(-5\left(3yx^{3}-3x^{3}y+\frac{9x^{2}y}{9xy}\right)^{2}+5x^{2}\right)^{3}+\frac{\left(4xy\right)^{2}}{-4xy}$$

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

$$\left(-5\times \left(\frac{9x^{2}y}{9xy}\right)^{2}+5x^{2}\right)^{3}+\frac{\left(4xy\right)^{2}}{-4xy}$$

Surat va maxrajdagi ikkala 9xy ni qisqartiring.

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

0 ni olish uchun -5x^{2} va 5x^{2} ni birlashtirish.

$$0^{3}+\frac{\left(4xy\right)^{2}}{-4xy}$$

3 daraja ko‘rsatkichini 0 ga hisoblang va 0 ni qiymatni oling.

$$0+\frac{\left(4xy\right)^{2}}{-4xy}$$

\left(4xy\right)^{2} ni kengaytirish.

$$0+\frac{4^{2}x^{2}y^{2}}{-4xy}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$0+\frac{16x^{2}y^{2}}{-4xy}$$

Surat va maxrajdagi ikkala 4xy ni qisqartiring.

$$0+\frac{4xy}{-1}$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi.

$$0-4xy$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-4xy$$

Kengaytirish

$$-4xy$$

Yechim qadamlari

Surat va maxrajdagi ikkala 3yx^{3} ni qisqartiring.

$$\left(-5\left(3yx^{3}-3x^{3}y+\frac{9x^{2}y}{9xy}\right)^{2}+5x^{2}\right)^{3}+\frac{\left(4xy\right)^{2}}{-4xy}$$

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

$$\left(-5\times \left(\frac{9x^{2}y}{9xy}\right)^{2}+5x^{2}\right)^{3}+\frac{\left(4xy\right)^{2}}{-4xy}$$

Surat va maxrajdagi ikkala 9xy ni qisqartiring.

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

0 ni olish uchun -5x^{2} va 5x^{2} ni birlashtirish.

$$0^{3}+\frac{\left(4xy\right)^{2}}{-4xy}$$

3 daraja ko‘rsatkichini 0 ga hisoblang va 0 ni qiymatni oling.

$$0+\frac{\left(4xy\right)^{2}}{-4xy}$$

\left(4xy\right)^{2} ni kengaytirish.

$$0+\frac{4^{2}x^{2}y^{2}}{-4xy}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$0+\frac{16x^{2}y^{2}}{-4xy}$$

Surat va maxrajdagi ikkala 4xy ni qisqartiring.

$$0+\frac{4xy}{-1}$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi.

$$0-4xy$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-4xy$$