(-3a^{2}x)^3*(-ax)^2-(-ax)^5(3a)^3 eching

$$( - 3 a ^ { 2 } x ) ^ { 3 } \cdot ( - a x ) ^ { 2 } - ( - a x ) ^ { 5 } ( 3 a ) ^ { 3 }$$

Baholash

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Yechim qadamlari

\left(-3a^{2}x\right)^{3} ni kengaytirish.

$$\left(-3\right)^{3}\left(a^{2}\right)^{3}x^{3}\left(\left(-a\right)x\right)^{2}-\left(\left(-a\right)x\right)^{5}\times \left(3a\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\left(-3\right)^{3}a^{6}x^{3}\left(\left(-a\right)x\right)^{2}-\left(\left(-a\right)x\right)^{5}\times \left(3a\right)^{3}$$

3 daraja ko‘rsatkichini -3 ga hisoblang va -27 ni qiymatni oling.

$$-27a^{6}x^{3}\left(\left(-a\right)x\right)^{2}-\left(\left(-a\right)x\right)^{5}\times \left(3a\right)^{3}$$

\left(\left(-a\right)x\right)^{2} ni kengaytirish.

$$-27a^{6}x^{3}\left(-a\right)^{2}x^{2}-\left(\left(-a\right)x\right)^{5}\times \left(3a\right)^{3}$$

2 daraja ko‘rsatkichini -a ga hisoblang va a^{2} ni qiymatni oling.

$$-27a^{6}x^{3}a^{2}x^{2}-\left(\left(-a\right)x\right)^{5}\times \left(3a\right)^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 2 ni qo‘shib, 8 ni oling.

$$-27a^{8}x^{3}x^{2}-\left(\left(-a\right)x\right)^{5}\times \left(3a\right)^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 2 ni qo‘shib, 5 ni oling.

$$-27a^{8}x^{5}-\left(\left(-a\right)x\right)^{5}\times \left(3a\right)^{3}$$

\left(\left(-a\right)x\right)^{5} ni kengaytirish.

$$-27a^{8}x^{5}-\left(-a\right)^{5}x^{5}\times \left(3a\right)^{3}$$

\left(3a\right)^{3} ni kengaytirish.

$$-27a^{8}x^{5}-\left(-a\right)^{5}x^{5}\times 3^{3}a^{3}$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$-27a^{8}x^{5}-\left(-a\right)^{5}x^{5}\times 27a^{3}$$

\left(-a\right)^{5} ni kengaytirish.

$$-27a^{8}x^{5}-\left(-1\right)^{5}a^{5}x^{5}\times 27a^{3}$$

5 daraja ko‘rsatkichini -1 ga hisoblang va -1 ni qiymatni oling.

$$-27a^{8}x^{5}-\left(-a^{5}x^{5}\times 27a^{3}\right)$$

1 hosil qilish uchun -1 va -1 ni ko'paytirish.

$$-27a^{8}x^{5}+a^{5}x^{5}\times 27a^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 3 ni qo‘shib, 8 ni oling.

$$-27a^{8}x^{5}+a^{8}x^{5}\times 27$$

0 ni olish uchun -27a^{8}x^{5} va a^{8}x^{5}\times 27 ni birlashtirish.

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Omil

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Yechim qadamlari

Distributiv funktsiyasidan foydalangan holda \left(ax\right)^{2} umumiy terminini chiqaring.

$$\left(ax\right)^{2}\left(-27x^{3}a^{6}+27x^{3}a^{6}\right)$$

Hisoblang: -27x^{3}a^{6}+27x^{3}a^{6}. Qisqartirish.

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