(6m^3+9n)(6m^3-9n) eching

$$( 6 m ^ { 3 } + 9 n ) ( 6 m ^ { 3 } - 9 n )$$

Baholash

$$36m^{6}-81n^{2}$$

Yechim qadamlari

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

$$\left(6m^{3}\right)^{2}-\left(9n\right)^{2}$$

\left(6m^{3}\right)^{2} ni kengaytirish.

$$6^{2}\left(m^{3}\right)^{2}-\left(9n\right)^{2}$$

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

$$6^{2}m^{6}-\left(9n\right)^{2}$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$36m^{6}-\left(9n\right)^{2}$$

\left(9n\right)^{2} ni kengaytirish.

$$36m^{6}-9^{2}n^{2}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$36m^{6}-81n^{2}$$

Kengaytirish

$$36m^{6}-81n^{2}$$

Yechim qadamlari

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

$$\left(6m^{3}\right)^{2}-\left(9n\right)^{2}$$

\left(6m^{3}\right)^{2} ni kengaytirish.

$$6^{2}\left(m^{3}\right)^{2}-\left(9n\right)^{2}$$

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

$$6^{2}m^{6}-\left(9n\right)^{2}$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$36m^{6}-\left(9n\right)^{2}$$

\left(9n\right)^{2} ni kengaytirish.

$$36m^{6}-9^{2}n^{2}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$36m^{6}-81n^{2}$$