(-1+10k^3)^2= eching

$$( - 1 + 10 k ^ { 3 } ) ^ { 2 } =$$

Baholash

$$\left(10k^{3}-1\right)^{2}$$

Yechim qadamlari

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(-1+10k^{3}\right)^{2} kengaytirilishi uchun ishlating.

$$1-20k^{3}+100\left(k^{3}\right)^{2}$$

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

$$1-20k^{3}+100k^{6}$$

Kengaytirish

$$100k^{6}-20k^{3}+1$$

Yechim qadamlari

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(-1+10k^{3}\right)^{2} kengaytirilishi uchun ishlating.

$$1-20k^{3}+100\left(k^{3}\right)^{2}$$

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

$$1-20k^{3}+100k^{6}$$