a^{6}*(-a^{2})^3+a^2*(-a^5)^2 eching

$$a ^ { 6 } \cdot ( - a ^ { 2 } ) ^ { 3 } + a ^ { 2 } \cdot ( - a ^ { 5 } ) ^ { 2 }$$

Baholash

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Yechim qadamlari

2 daraja ko‘rsatkichini -a^{5} ga hisoblang va \left(a^{5}\right)^{2} ni qiymatni oling.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 2 ni ko‘paytirib, 10 ni oling.

$$a^{6}\left(-a^{2}\right)^{3}+a^{2}a^{10}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 10 ni qo‘shib, 12 ni oling.

$$a^{6}\left(-a^{2}\right)^{3}+a^{12}$$

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

$$a^{6}\left(-1\right)^{3}\left(a^{2}\right)^{3}+a^{12}$$

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

$$a^{6}\left(-1\right)^{3}a^{6}+a^{12}$$

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

$$a^{6}\left(-1\right)a^{6}+a^{12}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 6 ni qo‘shib, 12 ni oling.

$$a^{12}\left(-1\right)+a^{12}$$

0 ni olish uchun a^{12}\left(-1\right) va a^{12} ni birlashtirish.

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Omil

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Yechim qadamlari

Distributiv funktsiyasidan foydalangan holda a^{2} umumiy terminini chiqaring.

$$a^{2}\left(-a^{10}+\left(-a^{5}\right)^{2}\right)$$

Hisoblang: -a^{10}+\left(-a^{5}\right)^{2}. Qisqartirish.

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