(-x^5)^4+(-x^4)^5 eching

$$( - x ^ { 5 } ) ^ { 4 } + ( - x ^ { 4 } ) ^ { 5 }$$

Baholash

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Yechim qadamlari

\left(-x^{5}\right)^{4} ni kengaytirish.

$$\left(-1\right)^{4}\left(x^{5}\right)^{4}+\left(-x^{4}\right)^{5}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 4 ni ko‘paytirib, 20 ni oling.

$$\left(-1\right)^{4}x^{20}+\left(-x^{4}\right)^{5}$$

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

$$1x^{20}+\left(-x^{4}\right)^{5}$$

\left(-x^{4}\right)^{5} ni kengaytirish.

$$1x^{20}+\left(-1\right)^{5}\left(x^{4}\right)^{5}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 5 ni ko‘paytirib, 20 ni oling.

$$1x^{20}+\left(-1\right)^{5}x^{20}$$

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

$$1x^{20}-x^{20}$$

0 ni olish uchun 1x^{20} va -x^{20} ni birlashtirish.

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Omil

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