(a^2)^3+(b^2)^3 eching

$$( a ^ { 2 } ) ^ { 3 } + ( b ^ { 2 } ) ^ { 3 }$$

Baholash

$$a^{6}+b^{6}$$

Yechim qadamlari

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

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

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

$$a^{6}+b^{6}$$

Omil

$$\left(a^{2}+b^{2}\right)\left(a^{4}-a^{2}b^{2}+b^{4}\right)$$

Yechim qadamlari

a^{6}+b^{6} ni \left(a^{2}\right)^{3}+\left(b^{2}\right)^{3} sifatida qaytadan yozish. Kublar yigʻindisini ushbu formula bilan hisoblash mumkin: p^{3}+q^{3}=\left(p+q\right)\left(p^{2}-pq+q^{2}\right).

$$\left(a^{2}+b^{2}\right)\left(a^{4}-a^{2}b^{2}+b^{4}\right)$$