(x^frac{2{3}}-x^frac{1{3}})(x^frac{2{3}}+x^frac{1{3}}) eching

$$( x ^ { \frac { 2 } { 3 } } - x ^ { \frac { 1 } { 3 } } ) ( x ^ { \frac { 2 } { 3 } } + x ^ { \frac { 1 } { 3 } } )$$

Baholash

$$x^{\frac{2}{3}}\left(x^{\frac{2}{3}}-1\right)$$

Yechim qadamlari

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(x^{\frac{2}{3}}\right)^{2}-\left(x^{\frac{1}{3}}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{2}{3} va 2 ni ko‘paytirib, \frac{4}{3} ni oling.

$$x^{\frac{4}{3}}-\left(x^{\frac{1}{3}}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{1}{3} va 2 ni ko‘paytirib, \frac{2}{3} ni oling.

$$x^{\frac{4}{3}}-x^{\frac{2}{3}}$$

Omil

$$x^{\frac{2}{3}}\left(x^{\frac{2}{3}}-1\right)$$